Add a number to make the binomial a perfect square trinomial

Question

x²- 3/2

what number should be added to make the binomial a perfect square trinomial?

Answer 1

Did you mean x^2 - 3/2x ?

 

If so, then:

 

x^2 - 2(3/4)x + (3/4)^2

 

is a perfect square trinomial;

 

where we added 9/16.