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4 years ago

What value of c makes x2 − 12x + c a perfect square trinomial?

Mathematics

2 answers:

miv72 [106K]4 years ago

6 0

Answer: The required value of c is 36.

Step-by-step explanation: We are given to find the value of c so that the following expression becomes a perfect square trinomial :

$E=x^2-12x+c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of c, we proceed as follows :

$E\\\\=x^2-12x+c\\\\=(x^2-2\times x\times6+6^2)+c-6^2\\\\=(x-6)^2+c-36.$

So, for E to be a perfect square trinomial, we must have

$c-36=0\\\\\Righatrrow c=36.$

Thus, the required value of c is 36.

Nastasia [14]4 years ago

4 0

Answer:

for value 36

c makes the perfect square

x2 - 12x +36

= x2 - 2*6x +6^2

= (x-6)^2 #

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professor190 [17]

Answer:

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Does this help?

Step-by-step explanation:

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3 years ago

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