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If x49=196x\frac{x}{49}=\frac{196}{x}49x​=x196​​, find the value of ′x′'x'′x′​.
Question

If x49=196x\frac{x}{49}=\frac{196}{x}​, find the value of x'x'​.

A.

99

B.

98

C.

100

D.

49

Correct option is B

Given:

x49=196x\frac{x}{49}=\frac{196}{x}

Solution:

x49=196x\frac{x}{49}=\frac{196}{x}

x2 = 49 ×196\times 196

x = 49×196\sqrt{49\times 196}

x = 7×14\times 14 = 98​

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