Question

(x-7) ² + 3 = (x - 2) (x + 2) =​

Answer 1

Ответ:

x²-14x+49+3=x²-4

-14x+49+3=-4

-14x+52=-4

-14x=-4-52

-14x=-65

x=4

Answer 2

To solve the equation (x-7)² + 3 = (x - 2)(x + 2), let's simplify it step by step:

First, expand the left side of the equation: (x - 7)² + 3 = (x - 7)(x - 7) + 3 = x² - 14x + 49 + 3 = x² - 14x + 52

Now, we have the equation: x² - 14x + 52 = (x - 2)(x + 2)

Expand the right side: (x - 2)(x + 2) = x² - 2x + 2x - 4 = x² - 4

Now, our equation becomes: x² - 14x + 52 = x² - 4

Subtract x² from both sides to simplify the equation: -14x + 52 = -4

Subtract 52 from both sides: -14x = -4 - 52 -14x = -56

Divide both sides by -14 to solve for x: x = (-56) / (-14) x = 4

Therefore, the solution to the equation (x-7)² + 3 = (x - 2)(x + 2) is x = 4.