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If √(0.0169×x)=1.3, then find the value of ‘x’
Question

If √(0.0169×x)=1.3, then find the value of ‘x’

A.

50

B.

1000

C.

10

D.

100

Correct option is D

Solution:0.0169×x=1.3\sqrt{0.0169 \times x} = 1.3
We are given the equation:

Concept Used:

To remove the square root, we square both sides of the equation.
(0.0169×x)2=(1.3)2\left( \sqrt{0.0169 \times x} \right)^2 = (1.3)^2​​
0.0169×x=1.690.0169 \times x = 1.69​​
Now, solve for x by dividing both sides by 0.0169:
x=1.690.0169x = \frac{1.69}{0.0169}​​
Step-by-step calculation gives:
x = 100
Final Answer:
The value of x is 100

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