Question

Which of the following constants can be added to x2 - 3x to form a perfect square trinomail?

Answer 1

The constant that can be added to $x^2$ - 3x to form a perfect square trinomial is $2\frac{1}{4}$

The given expression is

$x^2$ - 3x

To form a perfect square trinomial

$(a-b)^2 =a^2-2ab+b^2$

The given expression is

$x^2$ - 3x

first we have to add a constant term with it

$x^2$ - 3x + z

By comparing the given expression and the perfect square trinomial

$a^2 =x^2$

a = x

Similarly

-2ab = 3x

where know a =x

Then,

-2b = 3

b = -3/2

Similarly

$b^2 = z$

$(\frac{-3}{2})^2$ = z

9/4 = z

Convert the simple fraction to mixed fraction

9/4 = $2\frac{1}{4}$

Hence, the constant that can be added to $x^2$ - 3x to form a perfect square trinomial is $2\frac{1}{4}$

The complete question is :

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

$1\frac{1}{2},2\frac{1}{4}$ and $4\frac{1}{2}$

Learn more about perfect square trinomial here

brainly.com/question/16615974

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