Question

The difference of square of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the 2 numbee

Answer 1

Answer:

Step-by-step explanation:

Let the smaller no. and larger no. be x and y respectively.

y^2 - x^2 = 180

x^2 = 8y

Therefore

y^2 - 8y = 180

=>y^2 - 8y - 180 =0

=>y^2 - 18y + 10y - 180 = 0

=> y(y - 18) + 10(y - 18) =0

=> (y + 10)(y - 18) = 0

Therefore y = 18

Therefore

x = (144)^1/2

= 12