Question

24x(x+1) =4x²-7 какой ответ

Answer 1

Ответ: x1 = -0,7 ; x2 = - 0,5

Объяснение: 24x(x + 1) = 4x^2 - 7 ;

24x^2 + 24x = 4x^2 - 7 ;

20x^2 + 14x + 10x + 7 = 0 ;

2x(10x + 7) + 10x + 7 = 0 ;

(10x + 7)(2x + 1) = 0 ;

10x + 7 = 0 ;

2x + 1 = 0 ;

x1 = - 0, 7 ;

x2 = - 0,5.

Answer 2

Problem Statement

The equation to solve is: 24x(x+1) = 4x² - 7.

Solution

To solve the equation 24x(x+1) = 4x² - 7, we can start by simplifying both sides of the equation.

On the left side, we have 24x(x+1). We can expand this expression by multiplying 24x by each term inside the parentheses: 24x(x+1) = 24x² + 24x.

On the right side, we have 4x² - 7.

Now, we can rewrite the equation as: 24x² + 24x = 4x² - 7.

To solve this quadratic equation, we can move all the terms to one side and set the equation equal to zero: 24x² + 24x - 4x² + 7 = 0.

Combining like terms, we get: 20x² + 24x + 7 = 0.

Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula to find the solutions.

The quadratic formula is given by: x = (-b ± √(b² - 4ac)) / (2a).

For our equation, a = 20, b = 24, and c = 7.

Substituting these values into the quadratic formula, we get: x = (-24 ± √(24² - 4 * 20 * 7)) / (2 * 20).

Simplifying further, we have: x = (-24 ± √(576 - 560)) / 40, x = (-24 ± √16) / 40.

Taking the square