Which choices are solutions to the following equation? X^2-3x=-5/4

A=x=2

B=x=2.5

C=x=-1

D=x=0.5

We can solve this equation by completing square

and using formula a² - 2ab+b² = (a-b) ²

x²-3x=-5/4

x² - 2*3/2x + (3/2) ² = - 5/4 + (3/2) ²

(x-3/2) ² = - 5/4 + 9/4

(x-3/2) ² = 1

√ (x-3/2) ² = + / -√1

x-3/2 = 1, or x-3/2 = - 1

x=1+3/2=5/2=2.5 or x=-1+3/2 = 1/2=0.5

So we got 2 answers

x=2.5 and x = 0.5.