The product of two numbers is 192. The first number is negative, and the second number is eight more than four times the first number. Find the two numbers.

Respuesta :

-x * y = 192

y = -4x + 8

-x (-4x + 8) = 192
4x^2 - 8x = 192
4x^2 - 8x - 192 = 0
4(x^2 - 2x - 48) = 0
4(x - 8)(x + 6) = 0

x - 8 = 0
x = 8...nope, it has to be negative

x + 6 = 0
x = -6 <==

y = -4(x) + 8
y = -4(-6) + 8
y = 24 + 8
y = 32 <==

so ur 2 numbers are -6 and 32