Question

if x/25 = 196/x, then x equals​

Answer 1

Step-by-step explanation:

$\frac{x}{25} = \frac{196}{x} \\ x {}^{2} = 196 \times 25 \\ x {}^{2} = 4900 \\ x = \sqrt{4900 } \\ x = \sqrt{ {70}^{2} } \\ x = 70 \\ therefore \: the \: value \: of \: x \: is \: 70$

Answer 2

SOLUTION

GIVEN

$\displaystyle\sf{ \frac{x}{25} = \frac{196}{x} }$

TO DETERMINE

The value of x

EVALUATION

Here it is given that

$\displaystyle\sf{ \frac{x}{25} = \frac{196}{x} }$

$\displaystyle\sf{ \implies \: {x}^{2} = 25 \times 196 }$

$\displaystyle\sf{ \implies \: x = \sqrt{25 \times 196} }$

$\displaystyle\sf{ \implies \: x = 5 \times 14 }$

$\displaystyle\sf{ \implies \: x = 70 }$

FINAL ANSWER

Hence the required value of x = 70

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