Question

If 100x = 163² − 37² then the value of x is _
126
200
252
25200

Answer 1

Answer:

252

Step-by-step explanation:

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Answer 2

Answer:

The value of $x=252$.

Step-by-step explanation:

Given : The expression is $100x=163^{2} -37^{2}$

To find : The value of above equation.

Solution :

• Here, it is given that  $100x=163^{2} -37^{2}$
• We have to find the value of given equation.
• We know that, square of any number can be obtained by multiplication of that number with itself.
• Here, $163^{2} = 163*163= 26569$

         $37^{2} = 37*37=1369$

• Now, put these values in given equation, we get

     $100x=163^{2} -37^{2}$

 ∴  $100x = 26569-1369$  

      ∴ $100x=25200$

          ∴ $x=\frac{25200}{100}$

           ∴ $x=252$

• ∴ The value of $x=252$.