Question

the difference of square of two Numbers is 180.the square of the smaller number is 8 times the larger number .Find the two numbers​

Answer 1

Answer:

Step-by-step explanation:

Let one number be 'x' and let the other be 'y'

x^ - y^ = 180

given : y^ = 8x

x^ - 8x = 180

x^ - 8x - 180 = 0

x^ + 10x - 18x - 180 = 0

x(x + 10 ) - 18 ( x + 10) = 0

(x + 10 ) (x - 18) = 0

x + 10 = 0

x - 18 = 0

x = 18,-10

y^ = 18*8

y^ = 144

therefore  x= 18 , y= 12