Which choices are solutions to the following equation?

Check all that apply.

x^2-5x=-9/4

A. x = 2

B. x = - 1

C. x = 0.5

D. x = 4.5

Let's solve your equation step-by-step. x2 - 5x = - 94 Step 1: Simplify both sides of the equation. x2 - 5x = - 9 4 Step 2: Subtract (-9) / 4 from both sides. x2 - 5x - - 9 4 = - 9 4 - - 9 4 x2 - 5x + 94 = 0 Step 3: Use quadratic formula with a=1, b=-5, c=2.25. x = - b ± b2 - 4a c 2a x = - (-5) ± (-5) 2 - 4 (1) (2.25) 2 (1) x = 5±16 2 x = 9/2 or x = 1/2 Answer: x = 9/2 or x = 1 / 2