Question

What is the solution of Vx2+49
V x2+49 - x+5?

Answer 1

x =
`(12)/(5)`

Explanation:

Given,

`\sqrt{x^(2)+49 } = x + 5`

Squaring on both L.H.S. and R.H.S.

`\sqrt{(x^(2)+ 49 )} ^(2) = (x + 5)^(2)`

By expanding L.H.S. we get x² + 49

By expanding R.H.S. we get x² + 10x + 25

x² + 49 = x² + 10x + 25

x² will be subtracted:

49 = 10x + 25

Variables are to be arranged:

10x = 49 - 25

10x = 24

x =
`(24)/(10)`

∴ x =
`(12)/(5)`