book Maths Puzzle Numerical Ability

x^2-3x -23=5
(x^2-3x -23-5)=0
(x^2-3x-23-5)=0
(x^2-3x-28)=0
x^2 +4x -7x-28)=0
x(x+4)+ (-7) (x+4)=0
(x-7 (x+4)=0
(x-7)=0 or (x+4)=0
x=7 or x=-4

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book Other Question

Eight marbles look alike, but one is slightly heavier than the others. Using a balance scale, explain how you can determine the heavier one in exactly 2 weighings. Determine the inverse relation of each function and write it in inverse format.

g(x)= 4/3x -2