Answer:
x = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Given,
[tex]\sqrt{x^{2}+49 } = x + 5[/tex]
Squaring on both L.H.S. and R.H.S.
[tex]\sqrt{(x^{2}+ 49 )} ^{2} = (x + 5)^{2}[/tex]
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 = [tex]\frac{24}{10}[/tex]
∴ x = [tex]\frac{12}{5}[/tex]
