Question

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

Answer 1

Answer:

x = $\frac{12}{5}$

Step-by-step 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 = $\frac{24}{10}$

∴ x = $\frac{12}{5}$