exam Maths Puzzle Numerical Ability

If ABCD is a rectangle and P is any point in its interior, prove that:
(AP)(AP)+(PC)(PC)=(PB)(PB)+(PD)(PD)

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exam Other Question

find the exact solutions to 5x^2+17x+6=0 Write the ratio 5 to 9 as a fraction.
Would this simply be 5/9? I hope.