If (1 + 27/169)^(1/2) = 1 + x/13, then x equals:

Question

If  \sqrt{1 + \frac{27}{169}} = 1 + \frac{x}{13} , then x equals:

(A) 1 
(B) 3
(C) 5 
(D) 7
(E) 9

DHRJ0032 · Answer

A it is

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chetan2u · Answer

\sqrt{1 + \frac{27}{169}} = 1 + \frac{x}{13}

\sqrt{ \frac{196}{169}} = 1 + \frac{x}{13}

\frac{14}{13}= 1 + \frac{x}{13}

\frac{x}{13}= \frac{14}{13}-1

\frac{x}{13}= \frac{1}{13}

x=1

A

MathRevolution · Answer

1 + \frac{27}{169} = \frac{(169 + 27) }{ 169} = \frac{196}{169}

\sqrt{\frac{196}{169}} = 1+ \frac{x}{13}

\frac{14}{13} = 1 + \frac{x}{13}

=>  \frac{14}{13} - 1 = \frac{x }{ 13}

=>  \frac{1}{13} = \frac{x }{ 13}

=> x = 1

Answer A

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