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