solve. -x=the square root of 2x+15

Question

A. -5
B. -3
C. 3
D. 5

Answer 1

I will help you solve this equation.

Given: -x = √(2x + 15)

Square both sides to eliminate the square root:
(-x)^2 = (√(2x + 15))^2
x^2 = 2x + 15

Rearrange the equation to a quadratic form:
x^2 - 2x - 15 = 0

Factor the quadratic equation:
(x - 5)(x + 3) = 0

Set each factor to zero and solve for x:
x - 5 = 0
x = 5

x + 3 = 0
x = -3

Therefore, the solutions to the equation are x = -3 and x = 5.

The correct answers are:
A. -5
B. -3
C. 3
D. 5

So the correct answer is B. -3