Question

Make the given equation as a perfect square X2 -7x

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

x2 + 12x [Given]

The standard form of a perfect square trinomial is

(x - a)2 = x2 - 2ax + a2

In the given equation add c as the value which must be added

x2 + 12x + c

By equating it with the standard form

12x = - 2ax ----> (1)

c = a2 ----> (2)

Solving these equations for a and c respectively, we get

12x = - 2ax

a = 12/-2

a = -6

c = (-6)2 = 36

Here

(x - (-6))2 = x2 + 12x + 36

Therefore, the value which must be added is 36.