X-√x+1=5

Question 1

Задача Задача №56862

А

Аноним

24 ноября 2023 03:58 · публичный вопрос

А

Аноним 24 ноября 2023 03:58

X-√x+1=5

Answer

To solve the equation x - √x + 1 = 5, we can follow these steps:

Move the constant term to the other side of the equation: x - √x = 5 - 1 x - √x = 4
Square both sides of the equation to eliminate the square root: (x - √x)^2 = 4^2 x^2 - 2x√x + (√x)^2 = 16 x^2 - 2x√x + x = 16 (since (√x)^2 = x) x^2 - 2x√x + x - 16 = 0
Simplify the equation: x^2 - x - 16 - 2x√x = 0
Factor the equation if possible. Unfortunately, this equation cannot be easily factored.
Use a numerical method, such as iterative approximation or a calculator, to find the solutions.

Alternatively, you can use a graphing calculator or software to plot the graph of the equation and find the intersection points with the line y = 4.

Question 2

x-√x+1=5

Answer

To solve the equation x - √x + 1 = 5, we can follow these steps: 1. Move the constant term to the other side of the equation: x - √x = 5 - 1 x - √x = 4 2. Square both sides of the equation to eliminate the square root: (x - √x)^2 = 4^2 x^2 - 2x√x + (√x)^2 = 16 x^2 - 2x√x + x = 16 (since (√x)^2 = x) x^2 - 2x√x + x - 16 = 0 3. Simplify the equation: x^2 - x - 16 - 2x√x = 0 4. Factor the equation if possible. Unfortunately, this equation cannot be easily factored. 5. Use a numerical method, such as iterative approximation or a calculator, to find the solutions. Alternatively, you can use a graphing calculator or software to plot the graph of the equation and find the intersection points with the line y = 4.