Brian is solving the equation x^2-(3)/(4)x=5 What value must be added to both sides of the equation to make the left side a perfectsquare trinomial? (8)/(64) (9)/(16) (3)/(4) (9)/(4)

To make the left side of the equation a perfect square trinomial, we need to add the square of half the coefficient of the x term to both sides of the equation.<br /><br />The coefficient of the x term is -3/4. Half of this value is -3/8. Squaring this value gives us (3/8)^2 = 9/Therefore, the value that must be added to both sides of the equation to make the left side a perfect square trinomial is 9/64.<br /><br />Answer: $\frac {9}{64}$