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Find the value of x in the given equation. ​2401x=x6.25\frac{\sqrt{2401}}{x} = \frac{x}{6.25}x2401​​=6.25x​​​
Question

Find the value of x in the given equation.
2401x=x6.25\frac{\sqrt{2401}}{x} = \frac{x}{6.25}​​

A.

17.5

B.

7.5

C.

15.5

D.

27.5

Correct option is A

Given:
2401x=x6.25\frac{\sqrt{2401}}{x} = \frac{x}{6.25}
Solution:
2401x=x6.25\frac{\sqrt{2401}}{x} = \frac{x}{6.25}
49x=x6.25x2=306.25x=306.25x=352x=17.5\frac{49}{x} = \frac{x}{6.25} \\x^2 = 306.25 \\x = \sqrt{306.25} \\x = \frac{35}{2} \\x = 17.5​​

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