diffrence of square of two numberes is 180. the square of smaller number is 8 times larger find number
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let numbers be X and y
then x^2-y^2 = 180
and let smaller be y then
y^2 = 8x
then
putting this is in 1st eq we get...
x^2 -8x = 180
then x^2-8x-180 = 0
factorising it we get...
x^2+10x-18x-180
x(x+10)-18(x+10)
then X = 18,-10
taking X = 18 then y = √8x = √144 = 12 answer...
if taking X = 10 then y = √8×10 = √80 = 8.94 answer....
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