Question

Find the real​ solutions, if​ any, of the following equation. Use the quadratic formula. x^2 square root 2x -5 =0

Answer 1

x = 0 or x = 5/2

Explanation:

Solve for x over the real numbers:

x^2 sqrt(2 x - 5) = 0

Split into two equations:

x^2 = 0 or sqrt(2 x - 5) = 0

Take the square root of both sides:

x = 0 or sqrt(2 x - 5) = 0

Square both sides:

x = 0 or 2 x - 5 = 0

Add 5 to both sides:

x = 0 or 2 x = 5

Divide both sides by 2:

Answer: x = 0 or x = 5/2