Question

x - y = 5. x × y = 24 , then find the value of x and y

Answer 1

x - y = 5
x = 5 + y. -(1)

x * y = 24
(5 + y)y = 24
y^2 + 5y = 24
y^2 + 5y - 24 = 0
(y^2 + 8y) - (3y - 24) = 0
y(y + 8) - 3(y + 8) = 0
(y + 8) (y - 3) = 0

y - 3 = 0
y = 3

x = 5 + y
x = 5 + 3
x = 8