X^2 - 4x = 7

Answer 1

To solve the equation X^2 - 4x = 7, we first need to rearrange it into standard quadratic form:

X^2 - 4x - 7 = 0

Now we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

If we try factoring, the factors of -7 that add up to -4 are -7 and 1. So we can rewrite the equation as:

(X - 7)(X + 1) = 0

Setting each factor to zero:

X - 7 = 0 or X + 1 = 0

X = 7 or X = -1

Therefore, the solutions to the equation X^2 - 4x = 7 are X = 7 and X = -1.