book Maths Puzzle Numerical Ability

find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest.

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book Other Question

1)simplify root 5xy^5* root 10x^3
2) If f(2)=0 and f(x)=3x^2+kx-4, find k
3) if g(x)=3x^2+2x+6 and f(x)=4x-5, find g(2)/f(5)
4)if h(x)=13-5x,find h(x+5)
A carpet has the dimensions X feet by (X + 2)feet. If its area is 224 square feet, what are the dimensions of the carpet?