X2=2x+8

To solve the given equation X^2 = 2x + 8, we want to set it equal to zero to solve for x:

X^2 - 2x - 8 = 0

Now, we can factor the quadratic equation or use the quadratic formula to find the solutions for x.

Factoring: (X - 4)(X + 2) = 0

Setting each factor to zero: X - 4 = 0 or X + 2 = 0

Solving for X: X = 4 or X = -2

Therefore, the solutions to the equation X^2 = 2x + 8 are X = 4 or X = -2.