SOLUTION: THE DIFFERENCE OF SQUARE OF TWO NUMBER IS 180 .THE SQUARE OF THE SMALLER NUMBER IS 8 TIMES THE LARGER NUMBER .FIND THE TWO NUMBERS?

Question 584735: THE DIFFERENCE OF SQUARE OF TWO NUMBER IS 180 .THE SQUARE OF THE SMALLER NUMBER IS 8 TIMES THE LARGER NUMBER .FIND THE TWO NUMBERS?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
THE DIFFERENCE OF SQUARE OF TWO NUMBER IS 180
x^2 - y^2 = 180
:
.THE SQUARE OF THE SMALLER NUMBER IS 8 TIMES THE LARGER NUMBER
y^2 = 8x
:
FIND THE TWO NUMBERS?
:
Replace y^2 in the 1st equation with 8x
x^2 - 8x = 180
A quadratic equation
x^2 - 8x - 180 = 0
factors to
(x+10)(x-18) = 0
The positive solution
x = 18
Find y
y^2 = 8(18)
y^2 = 144
y =
y = 12

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