Brian is solving the equation x squared minus 3 fourths x is equal to 5 What value must be added to both sides of the equation to make the left side a perfect-square trinomial?

For an expression x² + bx to become a perfect-square trinomial, add (b/2)². Here b = −3/4, so add (−3/8)² = 9/64. The left side becomes (x − 3/8)², so the correct choice is 9 over 64.

AI-written and checked against the verified answer.