Question

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.

Answer 1

-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