The difference of two numbers is 20 and there product is 125. what are the two numberrs?
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let 2 numbers are x and y.
then according to question,
x - y = 20
so, x = y + 20
x * y = 125
(y +20) * y = 125
y^2 + 20y =125
y^2 + 20y - 125 = 0
y^2 + 25y - 5y - 125 = 0
y(y + 25) - 5(y + 25) = 0
(y -5) (y + 25) = 0
so, y = 5 , -25
then,
x = y + 20
y= 25 , -5
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