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Question

If x0 and x+12x = 4, then find the value of x2+14x2


A

20

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B

15

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C

10

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D

5

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Solution

The correct option is B

15


Using the identity:
(a+b)2=a2+b2+2ab
(x+12x)2 = x2+14x2+2×x×12x
(x+12x)2 =x2+14x2 + 1

Substituting the value of x+12x in the above expression we get,
42 =x2+14x2+1
15=x2+14x2

Hence, the value of
x2+14x2=15.


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Algebraic Identity: (a + b)^2 = a^2 + b^2 + 2ab
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