Question

X²+4x=5 решение пожалуйста, СРОЧНО

Answer 1

$x^{2}+4x=5 x^{2} +4x-5=0 D=16+20=36 x_{1} \frac{-4-6}{2} =-5 x_{2} = \frac{-4+6}{2} =1$

Answer 2

Solving the Equation x² + 4x = 5

To solve the equation x² + 4x = 5, we can use the quadratic formula or complete the square method. Let's use the complete the square method to solve this equation.

Completing the Square

To solve the equation x² + 4x = 5 using the completing the square method, we follow these steps:

1. Move the constant term to the other side of the equation: x² + 4x - 5 = 0

2. Complete the square by adding and subtracting the square of half the coefficient of x: x² + 4x + (4/2)² - (4/2)² - 5 = (x + 2)² - 4 - 5 = (x + 2)² - 9 = 0

3. Solve for x: (x + 2)² = 9 x + 2 = ±√9 x + 2 = ±3 x = -2 ± 3

Solutions

The solutions to the equation x² + 4x = 5 are: x = -2 + 3 = 1 and x = -2 - 3 = -5.

Therefore, the solutions to the equation x² + 4x = 5 are x = 1 and x = -5.