SOLUTION: Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24.

Question 1145791: Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Use a quadratic equation to find two real numbers with a sum of 2 and a product of -24.
---------------------
x + y = 2
x*y = -24
-------
x + y = 2 ---> y = 2-x
Sub for y in the 2nd eqn
==========
x*(2-x) = -24
x*(x-2) = 24
x^2 - 2x - 24 = 0
======
Here, find 2 factors of -24 that differ by 2
---> -6 & 4 : Obviously the "answer" -- no quadratic is needed.
----
(x-6)*(x+4) = 0
---> 6 and -4

RELATED QUESTIONS
Use a quadratic Equation to find two numbers whose sum is 5 and whose product is... (answered by checkley75)

use a quadratic equation to find two real numbers that satisfy each situation, or show... (answered by stanbon)

use a quadratic equation to find two real numbers that satisfy each equation for their... (answered by josgarithmetic)

use a quadratic equation to find two real numbers that satisfy each equation. their sum... (answered by math_helper,Alan3354)

use a quadratic equation to find two real numbers that satisfy the situation or show that (answered by solver91311)

Find two real numbers that have a sum of 8 and a product of... (answered by oscargut)

Find two real numbers that have a sum of 8 and a product of... (answered by checkley77)

Find two real numbers that have a sum of 8 and a product of... (answered by nerdybill)

Find two real numbers that have a sum of 8 and a product of... (answered by Earlsdon)