Question

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

Answer 1

Answer:

$\frac{9}{4}$

Step-by-step explanation:

Given

x² - 3x

To make the expression a perfect square

add ( half the coefficient of the x- term )²

x² + 2( - $\frac{3}{2}$ )x + $\frac{9}{4}$, thus

x² - 3x + $\frac{9}{4}$

= (x - $\frac{3}{2}$)² ← a perfect square