Question

(2х-5²)-(2х-3)(2х+3)=15​

Answer 1

Ответ:

х = 0,95  или  $\frac{19}{20}$

Объяснение:

$(2x-5)^{2} -(2x-3)(2x+3)=15\\4x^{2} -20x+25-4x^{2} +9-15=0\\-20x+19=0\\-20x=-19\\x=\frac{-19}{-20}\\x=\frac{19}{20} \\x=0.95$

Answer 2

To solve the equation (2x - 5)^2 - (2x - 3)(2x + 3) = 15, you can follow these steps:

1. Expand the expressions on both sides of the equation.
2. Simplify the equation.
3. Solve for x.

Let's go through it step by step:

1. Expand the expressions:

   (2x - 5)^2 = (2x - 5)(2x - 5) = 4x^2 - 10x - 10x + 25 = 4x^2 - 20x + 25

   (2x - 3)(2x + 3) = 4x^2 - 9

2. Substitute the expanded expressions into the equation:

   (4x^2 - 20x + 25) - (4x^2 - 9) = 15

3. Simplify the equation:

   4x^2 - 20x + 25 - 4x^2 + 9 = 15

   Now, combine like terms:

   -20x + 34 = 15

4. Move 34 to the right side of the equation by subtracting it from both sides:

   -20x = 15 - 34

   -20x = -19

5. Finally, divide both sides by -20 to isolate x:

   x = (-19) / (-20)

   x = 19/20

So, the solution to the equation is:

x = 19/20