Question

if x/25 =196/x, is equals​

Answer 1

Q- if x/25 =196/x, the x is equals​ to?

A- x is equal to 70.

Given,

Equation: x/25 =196/x

To Find,

The value of x =?

Solution,

Equation: x/25 =196/x

By cross multiplying, we get

x*x = 196 * 25

x² = 4900

Taking square roots on both sides, we get

$\sqrt{x^2} = \sqrt{4900} \\\sqrt{x^2} = \sqrt{70*70}\\ \sqrt{x^2} = \sqrt{70^2} \\ x = 70$

Hence, the value of x is 70.

Answer 2

If x/25 = 196/x then x = 70

Correct question : if x/25 = 196/x, then x equals

Given :

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

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

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

Step 2 of 2 :

Find the value of x

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

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

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

$\displaystyle \sf{ \implies x = \sqrt{ {5}^{2} \times {14}^{2} } }$

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

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

Hence the required value of x = 70

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