which values must be added to both sides of the equation x^2-3/4x=5 to make it a perfect square trinomial?

Respuesta :

So to find the constant of a perfect square, divide the x coefficient by 2 and then square that quotient.

*Remember that dividing by a number is the same as multiplying by the reciprocal.

[tex]-\frac{3}{4}\times \frac{1}{2}=-\frac{3}{8}\\\\(-\frac{3}{8})^2=-\frac{3}{8}\times-\frac{3}{8}=\frac{9}{64}[/tex]

You need to add 9/64 on both sides of the equation for this to be a perfect square.