Question

Brain is solving the equation x^2 - 3/4x = 5. What value must be added to both sides of the equation to make the left side a perfect-swuare trinomial

A) 9/64

B) 9/16

C) 3/4

D) 9/4

Answer 1

to make a square for x²+bx=c, add( $\frac{1}{2} b$)²on both side
in this case, b is-3/4, half of b is -3/8, and (-3/8)² is 9/64, so you add 9/64 to both side.