exam Maths Puzzle Numerical Ability

i need help with exxponents

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exam Other Question

Ok i have to solve for x in this equation:
x^2 + (x+7)^2 = 13^2

this is my work but its wrong:
2x^2 + 49 = 169
2x^2 - 120 = 0
square root of (0- 4*-120*2) over 4

please help The diameter of the moon is approximately one fourth the diameter of Earth, hence the volume of the moon is one fourth the volume of Earth. Is it true or false?