The difference of squares of two numbers is 180.The square of the smaller number is 8 times the larger number.Find the two numbers
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Let the two numbers be x, y (x>y) then we have the equations x²-y²=180 and y²=8x. You get, x²-8x-180=0 ⇒ (x-18)(x+10)=0 i.e. x=18 and y=12
Anonymous:
The numbers we are talking about belong to the real number set.
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