2 years ago

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

Mathematics

1 answer:

Vitek1552 [10]2 years ago

7 0

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

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