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23-10-2021
Mathematics

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w x and y are three integers w is 2 less than x y is 2 more than x prove that wy+ 4 =x^2

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tot1466 tot1466

23-10-2021

w + 2 = x

x + 2 = y

Cross multiply

y(w+2) = x(x+2)

wy + 2y = x^2 + 2x

make x the subject of the equation

x = y - 2

substitute this in place of (x) in 2x

wy + 2y = x^2 + 2(y-2)

wy + 2y = x^2 + 2y - 4

wy + 2y - 2y + 4 = x^2

wy + 4 = x^2

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