Question

X + 3 ) ² = ( X - 5 ) ²

Answer 1

(х+3)² = ( X - 5 ) ²
х²+6х+9=х²-10х+25
х²-х²+6х+10х=25-9
16х=16
х=16:16
х=1

Answer 2

To solve the equation (X + 3)² = (X - 5)², we can expand both sides of the equation and simplify.

Expanding the equation:

(X + 3)² = (X - 5)²

(X + 3) * (X + 3) = (X - 5) * (X - 5)

X² + 6X + 9 = X² - 10X + 25

Now, let's simplify the equation by canceling out the X² terms:

6X + 9 = -10X + 25

Next, we'll move all the X terms to one side and the constant terms to the other side:

6X + 10X = 25 - 9

16X = 16

Divide both sides of the equation by 16 to solve for X:

X = 16 / 16

X = 1

Therefore, the solution to the equation (X + 3)² = (X - 5)² is X = 1.