X^2--6x+9=0

Question 1

Задача Задача №68753

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Аноним

29 ноября 2023 06:09 · публичный вопрос

А

Аноним 29 ноября 2023 06:09

X^2--6x+9=0

Answer

To solve the quadratic equation x^2 - 6x + 9 = 0, we can use the factoring method.

Step 1: Identify the factors of the constant term (9) that add up to the coefficient of the linear term (-6). The factors of 9 are 1 and 9, or -1 and -9. However, none of these sum up to -6.

Step 2: Since factoring doesn't work directly, we can use the formula for finding the roots of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a) In this case, the coefficients are: a = 1, b = -6, and c = 9

Step 3: Substitute the values of a, b, and c into the formula to find the roots: x = (-(-6) ± √((-6)^2 - 4(1)(9))) / (2(1)) = (6 ± √(36 - 36)) / 2 = (6 ± √0) / 2 = (6 ± 0) / 2 = 6 / 2 = 3

So, the solution to the equation x^2 - 6x + 9 = 0 is x = 3.

Question 2

x^2--6x+9=0

Answer

To solve the quadratic equation x^2 - 6x + 9 = 0, we can use the factoring method. Step 1: Identify the factors of the constant term (9) that add up to the coefficient of the linear term (-6). The factors of 9 are 1 and 9, or -1 and -9. However, none of these sum up to -6. Step 2: Since factoring doesn't work directly, we can use the formula for finding the roots of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a) In this case, the coefficients are: a = 1, b = -6, and c = 9 Step 3: Substitute the values of a, b, and c into the formula to find the roots: x = (-(-6) ± √((-6)^2 - 4(1)(9))) / (2(1)) = (6 ± √(36 - 36)) / 2 = (6 ± √0) / 2 = (6 ± 0) / 2 = 6 / 2 = 3 So, the solution to the equation x^2 - 6x + 9 = 0 is x = 3.