2 Answers

Zong · Answer 1 · 2020-07-09T14:32:54+0000

Answer:

c=9

Explanation:

x^2+6x+c

The given polynomial is a perfect square trinomial.

using completing square method to find the perfect square.

$\Rightarrow x^2+6x+c$

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

Now we compare the given polynomial

$a^2+2ab+b^2\rightarrow x^2+2\cdot 3\cdot x+c$

$a^2\rightarrow x^2$

$2ab\rightarrow 2\cdot 3\cdot x$

$b^2\rightarrow c$

2ab=6x

b=3

But
$b^2\rightarrow c$

So, c=9

Hence, The value of c is 9 to make perfect square.

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