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

x = 0 or x = 5/2

Step-by-step 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