Question

Which value must be added to the expression x2 - 3x to make it a perfect square trimonial

Answer 1

To make the expression x^2 - 3x a perfect square trinomial, we need to add a constant term that will complete the square.

To do this, we can take half of the coefficient of x, square it, and add it to the expression.

Half of the coefficient of x is (-3/2), and (-3/2)^2 is 9/4. Therefore, we can add 9/4 to the expression to make it a perfect square trinomial:

x^2 - 3x + 9/4 = (x - 3/2)^2

So, the value that must be added to the expression x^2 - 3x to make it a perfect square trinomial is 9/4.