Answer
Step-by-step explanation:
[tex]\sqrt{x^{2}+49}=x+5\\[/tex]
Take square both sides.
[tex](\sqrt{x^{2}+49})^{2}=(x+5)^{2}\\\\x^{2}+49=x^{2}+2*x*5+5^{2}\\\\x^{2}+49=x^{2}+10x+25\\\\x^{2}-x^{2}+49=10x+25\\\\49=10x+25\\\\49-25=10x+25-25\\\\24=10x\\\\10x=24\\\\x=\frac{24}{10}\\\\x=\frac{12}{5}[/tex]
