Question

What value would be placed in the space shown to create a perfect square trinomial?
x^2 - 3x +___
1) 3/2
2) 9/4
3) - 9/4
4) -3/2

Answer 1

Answer:

9/4 (Answer 2)

Step-by-step explanation:

Take half the coefficient of x and square that result:

(1/2)(-3) = -3/2

Squaring this, we get 9/4 (Answer 2)

Answer 2

To create a perfect square trinomial $\frac{9}{4}$ should be placed in the space shown in x^2 - 3x +___

How to form a trinomial equation?

The trinomial equation is of the form
$x^{2}$ - 2ax + $a^{2}$

given equation is $x^{2}$ - 3x + _

comparing the two equation

2ax = 3x

a = $\frac{3}{2}$

$a^{2}$ = $\frac{9}{4}$

$x^{2}$ - 3x +  $\frac{9}{4}$  =  $( x- \frac{3}{2} )^{2}$

Therefore, option 2) 9/4 is the correct answer

To learn more about perfect square trinomial, refer :

https://brainly.com/question/1396573

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