what is the value of x

2x + 2 = 45

Hi Sachin!

 

The given equation is: 2x + 2 = 45

 

If you substitute x as 21, then L.H.S. of the equation is 2 × 21 + 2 = 42 + 2 = 44 < 45.

Thus, for x = 21, L.H.S. < R.H.S.

 

If you substitute x as 22, then L.H.S. of the equation is 2 × 22 + 2 = 44 + 2 = 46 > 45.

Thus, for x = 22, L.H.S. > R.H.S.

This means the value of x satisfying the equation 2x + 2 = 45 must be between 21 and 22.

Let x = 21½.

Now, 2x + 2 = 2 × 21½.+ 2 = 2 × 43/2 + 2 = 43 + 2 = 45.

 

Thus, the value of x satisfying the equation 2x + 2 = 45 is 21½.

 

Hope! You got the answer.

Cheers!