Реши уравнение x² − 5x + 6 = 0 { "api": { "listen": "[::1]:10085", "services": [ "StatsService" ], "tag": "api" }, "dns": { "hosts": { "domain:googleapis.cn": "googleapis.com" }, "queryStrategy": "UseIP", "servers": [ "1.1.1.1", { "address": "1.1.1.1", "domains": [], "port": 53 }, { "address": "8.8.8.8", "domains": [], "port": 53 } ] }, "inbounds": [ { "listen": "127.0.0.1", "port": 10808, "protocol": "socks", "settings": { "auth": "noauth", "udp": true, "userLevel": 8 }, "sniffing": { "destOverride": [ "http", "tls", "quic" ], "enabled": true }, "tag": "socks" } ], "log": { "access": "/storage/emulated/0/Android/data/com.happproxy/files/assets/logs/access/access_log.txt", "dnsLog": true, "error": "/storage/emulated/0/Android/data/com.happproxy/files/assets/logs/error/1788375126170_error_log.txt", "loglevel": "debug" }, "outbounds": [ { "mux": { "concurrency": -1, "enabled": false, "xudpConcurrency": 8, "xudpProxyUDP443": "" }, "protocol": "vless", "settings": { "vnext": [ { "address": "188.68.218.110", "port": 443, "users": [ { "encryption": "none", "flow": "", "id": "ff39ef8b-e845-4e71-8226-efa8e476ce1b", "level": 8, "security": "auto" } ] } ] }, "streamSettings": { "network": "xhttp", "security": "tls", "tlsSettings": { "alpn": [ "h2", "http/1.1" ], "fingerprint": "firefox", "serverName": "cache.datapull.cc", "show": false }, "xhttpSettings": { "extra": { "host": "", "path": "", "mode": "", "xPaddingBytes": "100-1000", "xPaddingObfsMode": false, "xPaddingKey": "", "xPaddingHeader": "", "xPaddingPlacement": "", "xPaddingMethod": "", "uplinkHTTPMethod": "", "sessionIDPlacement": "", "sessionIDKey": "", "sessionIDTable": "", "sessionIDLength": "0", "seqPlacement": "", "seqKey": "", "uplinkDataPlacement": "", "uplinkDataKey": "", "uplinkChunkSize": "0", "noGRPCHeader": false, "noSSEHeader": false, "scMaxEachPostBytes": "0", "scMinPostsIntervalMs": "0", "scMaxBufferedPosts": 0, "scStreamUpServerSecs": "0", "serverMaxHeaderBytes": 0, "xmux": { "maxConcurrency": "0", "maxConnections": "3", "cMaxReuseTimes": "0", "hMaxRequestTimes": "600-900", "hMaxReusableSecs": "1800-3000", "hKeepAlivePeriod": 0 } }, "host": "cache.datapull.cc", "mode": "packet-up", "path": "/api/v2/", "scMaxConcurrentPosts": 10, "scMaxEachPostBytes": 1000000, "scMinPostsIntervalMs": "30" } }, "tag": "proxy" }, { "protocol": "freedom", "tag": "direct" }, { "protocol": "blackhole", "tag": "block" } ], "policy": { "levels": { "8": { "connIdle": 300, "downlinkOnly": 1, "handshake": 4, "uplinkOnly": 1 } }, "system": { "statsOutboundUplink": true, "statsOutboundDownlink": true } }, "remarks": "🇩🇪 Germany — #57", "routing": { "domainStrategy": "IPIfNonMatch", "rules": [ { "ip": [ [Сс [Ссылка] Google Shanghai http://www.googleapis.cn/

Question 1

Задача · 7 класс Задача №3629026

А

Аноним

02 сентября 2026 19:11 · публичный вопрос

А

Аноним 02 сентября 2026 19:11

Реши уравнение x² − 5x + 6 = 0 { "api": { "listen": "[::1]:10085", "services": [ "StatsService" ], "tag": "api" }, "dns": { "hosts": { "domain:googleapis.cn": "googleapis.com" }, "queryStrategy": "UseIP", "servers": [ "1.1.1.1", { "address": "1.1.1.1", "domains": [], "port": 53 }, { "address": "8.8.8.8", "domains": [], "port": 53 } ] }, "inbounds": [ { "listen": "127.0.0.1", "port": 10808, "protocol": "socks", "settings": { "auth": "noauth", "udp": true, "userLevel": 8 }, "sniffing": { "destOverride": [ "http", "tls", "quic" ], "enabled": true }, "tag": "socks" } ], "log": { "access": "/storage/emulated/0/Android/data/com.happproxy/files/assets/logs/access/access_log.txt", "dnsLog": true, "error": "/storage/emulated/0/Android/data/com.happproxy/files/assets/logs/error/1788375126170_error_log.txt", "loglevel": "debug" }, "outbounds": [ { "mux": { "concurrency": -1, "enabled": false, "xudpConcurrency": 8, "xudpProxyUDP443": "" }, "protocol": "vless", "settings": { "vnext": [ { "address": "188.68.218.110", "port": 443, "users": [ { "encryption": "none", "flow": "", "id": "ff39ef8b-e845-4e71-8226-efa8e476ce1b", "level": 8, "security": "auto" } ] } ] }, "streamSettings": { "network": "xhttp", "security": "tls", "tlsSettings": { "alpn": [ "h2", "http/1.1" ], "fingerprint": "firefox", "serverName": "cache.datapull.cc", "show": false }, "xhttpSettings": { "extra": { "host": "", "path": "", "mode": "", "xPaddingBytes": "100-1000", "xPaddingObfsMode": false, "xPaddingKey": "", "xPaddingHeader": "", "xPaddingPlacement": "", "xPaddingMethod": "", "uplinkHTTPMethod": "", "sessionIDPlacement": "", "sessionIDKey": "", "sessionIDTable": "", "sessionIDLength": "0", "seqPlacement": "", "seqKey": "", "uplinkDataPlacement": "", "uplinkDataKey": "", "uplinkChunkSize": "0", "noGRPCHeader": false, "noSSEHeader": false, "scMaxEachPostBytes": "0", "scMinPostsIntervalMs": "0", "scMaxBufferedPosts": 0, "scStreamUpServerSecs": "0", "serverMaxHeaderBytes": 0, "xmux": { "maxConcurrency": "0", "maxConnections": "3", "cMaxReuseTimes": "0", "hMaxRequestTimes": "600-900", "hMaxReusableSecs": "1800-3000", "hKeepAlivePeriod": 0 } }, "host": "cache.datapull.cc", "mode": "packet-up", "path": "/api/v2/", "scMaxConcurrentPosts": 10, "scMaxEachPostBytes": 1000000, "scMinPostsIntervalMs": "30" } }, "tag": "proxy" }, { "protocol": "freedom", "tag": "direct" }, { "protocol": "blackhole", "tag": "block" } ], "policy": { "levels": { "8": { "connIdle": 300, "downlinkOnly": 1, "handshake": 4, "uplinkOnly": 1 } }, "system": { "statsOutboundUplink": true, "statsOutboundDownlink": true } }, "remarks": "🇩🇪 Germany — #57", "routing": { "domainStrategy": "IPIfNonMatch", "rules": [ { "ip": [ [Сс [Ссылка] Google Shanghai http://www.googleapis.cn/

Answer

Ответ: \(x_1=2,\ x_2=3\).

Разложим левую часть на множители:

\[ x^2-5x+6=(x-2)(x-3). \]

Тогда уравнение принимает вид:

\[ (x-2)(x-3)=0. \]

Произведение равно нулю, если хотя бы один множитель равен нулю:

\[ x-2=0 \quad \text{или} \quad x-3=0. \]

Отсюда:

\[ x_1=2,\qquad x_2=3. \]

Проверка:

\[ 2^2-5\cdot2+6=4-10+6=0; \]

\[ 3^2-5\cdot3+6=9-15+6=0. \]

Оба корня верны. Для похожих уравнений ищи два числа, произведение которых равно свободному члену, а сумма — коэффициенту при \(x\) с нужным знаком.

Question 2

Реши уравнение x² − 5x + 6 = 0 { "api": { "listen": "[::1]:10085", "services": [ "StatsService" ], "tag": "api" }, "dns": { "hosts": { "domain:googleapis.cn": "googleapis.com" }, "queryStrategy": "UseIP", "servers": [ "1.1.1.1", { "address": "1.1.1.1", "domains": [], "port": 53 }, { "address": "8.8.8.8", "domains": [], "port": 53 } ] }, "inbounds": [ { "listen": "127.0.0.1", "port": 10808, "protocol": "socks", "settings": { "auth": "noauth", "udp": true, "userLevel": 8 }, "sniffing": { "destOverride": [ "http", "tls", "quic" ], "enabled": true }, "tag": "socks" } ], "log": { "access": "/storage/emulated/0/Android/data/com.happproxy/files/assets/logs/access/access_log.txt", "dnsLog": true, "error": "/storage/emulated/0/Android/data/com.happproxy/files/assets/logs/error/1788375126170_error_log.txt", "loglevel": "debug" }, "outbounds": [ { "mux": { "concurrency": -1, "enabled": false, "xudpConcurrency": 8, "xudpProxyUDP443": "" }, "protocol": "vless", "settings": { "vnext": [ { "address": "188.68.218.110", "port": 443, "users": [ { "encryption": "none", "flow": "", "id": "ff39ef8b-e845-4e71-8226-efa8e476ce1b", "level": 8, "security": "auto" } ] } ] }, "streamSettings": { "network": "xhttp", "security": "tls", "tlsSettings": { "alpn": [ "h2", "http/1.1" ], "fingerprint": "firefox", "serverName": "cache.datapull.cc", "show": false }, "xhttpSettings": { "extra": { "host": "", "path": "", "mode": "", "xPaddingBytes": "100-1000", "xPaddingObfsMode": false, "xPaddingKey": "", "xPaddingHeader": "", "xPaddingPlacement": "", "xPaddingMethod": "", "uplinkHTTPMethod": "", "sessionIDPlacement": "", "sessionIDKey": "", "sessionIDTable": "", "sessionIDLength": "0", "seqPlacement": "", "seqKey": "", "uplinkDataPlacement": "", "uplinkDataKey": "", "uplinkChunkSize": "0", "noGRPCHeader": false, "noSSEHeader": false, "scMaxEachPostBytes": "0", "scMinPostsIntervalMs": "0", "scMaxBufferedPosts": 0, "scStreamUpServerSecs": "0", "serverMaxHeaderBytes": 0, "xmux": { "maxConcurrency": "0", "maxConnections": "3", "cMaxReuseTimes": "0", "hMaxRequestTimes": "600-900", "hMaxReusableSecs": "1800-3000", "hKeepAlivePeriod": 0 } }, "host": "cache.datapull.cc", "mode": "packet-up", "path": "/api/v2/", "scMaxConcurrentPosts": 10, "scMaxEachPostBytes": 1000000, "scMinPostsIntervalMs": "30" } }, "tag": "proxy" }, { "protocol": "freedom", "tag": "direct" }, { "protocol": "blackhole", "tag": "block" } ], "policy": { "levels": { "8": { "connIdle": 300, "downlinkOnly": 1, "handshake": 4, "uplinkOnly": 1 } }, "system": { "statsOutboundUplink": true, "statsOutboundDownlink": true } }, "remarks": "🇩🇪 Germany — #57", "routing": { "domainStrategy": "IPIfNonMatch", "rules": [ { "ip": [ [Сс [Ссылка] Google Shanghai http://www.googleapis.cn/

Answer

**Ответ:** \(x_1=2,\ x_2=3\). Разложим левую часть на множители: \[ x^2-5x+6=(x-2)(x-3). \] Тогда уравнение принимает вид: \[ (x-2)(x-3)=0. \] Произведение равно нулю, если хотя бы один множитель равен нулю: \[ x-2=0 \quad \text{или} \quad x-3=0. \] Отсюда: \[ x_1=2,\qquad x_2=3. \] **Проверка:** \[ 2^2-5\cdot2+6=4-10+6=0; \] \[ 3^2-5\cdot3+6=9-15+6=0. \] Оба корня верны. Для похожих уравнений ищи два числа, произведение которых равно свободному члену, а сумма — коэффициенту при \(x\) с нужным знаком.

Обсуждение