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Q.

What is the missing constant term in the perfect square that starts with x2+10x+c= 0?

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a

16

b

25

c

-25

d

36

answer is B.

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Detailed Solution

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Given equation: x2+10x+c= 0

General equation is x2+2bx+c=0 .........(1)

Here, 2b = 10

b = 5

Upon completing the square method by algebraic identity,

(a+b)2=a2+2ab+b2         .........(2)

By comparing equation (1) and equation (2), we get

c = b2

Hence value of c = b2=25 

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