43.0k views
4 votes
Find the 2 numbers whose product is -78 and sum is -7.​

1 Answer

4 votes

Answer:

The two numbers are -18 and 11 or 7 and -14, since the order of the numbers does not matter in finding their product and sum.

Explanation:

Given the product of two numbers is -78 and their sum is -7, we can use algebra to find these two numbers. Let's call these numbers x and y. Then, we have:

x * y = -78
x + y = -7

We can use the second equation to solve for one of the variables and then substitute it into the first equation to find the other variable. For example, solving for x:

x = -7 - y
x * y = -78
(-7 - y) * y = -78
-7y - y^2 = -78
y^2 + 7y + 78 = 0

This is a quadratic equation which can be solved using the quadratic formula or factoring. The two solutions for y are -14 and 11. Then, we can use the second equation to find x:

x = -7 - y
x = -7 - (-14) = 7
x = -7 - 11 = -18

So, the two numbers are -18 and 11 or 7 and -14, since the order of the numbers does not matter in finding their product and sum.

User James Caccese
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.