Find the value of c that makes the expression a perfect square trinomial x^2+22x+c with work

Mathematics

2 answers:

Yuliya22 [10]3 years ago

5 0

$\boxed{c=11}$

<h2>Explanation:</h2>

Here we have the following expression:

$x^2+22x+c$

A Perfect Square Trinomial is given by the form:

$(x+a)^2=x^2+2ax+a^2$

So matching terms, we can conclude that:

$2a=22 \\ \\ a=11 \\ \\ c=a^2=121$

So, substituting c into the expression:

$x^2+22x+121$

It is a perfect square because:

$x^2+22x+121=(x+11)^2$

<h2>Learn more:</h2>

Quadratic Equation in real life problems: brainly.com/question/10278062

#LearnWithBrainly

weqwewe [10]3 years ago

4 0

Answer:

Step-by-step explanation:

<em>Use the formula ( b 2 ) 2 in order to create a new term in order to find the perfect square trinomial. </em>

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