Algebra 1 Question Help

Question

So to solve a problem i need to do this step and its kind of hard... thank you for helping

So i need two numbers that multiply to -24 but those two numbers also have to add up to -10.

Answer 1

To find numbers that multiply to give -24 and add to give -10, let's find the factor pairs of 24

Factor Pairs of -24:

-1 x 24

-2 x 12

-3 x 8

-4 x 6

or

1 x -24

2 x -12

3 x -8

4 x -6

Now, if we take those factor pairs, and add them together, we can see which one adds to give you -10.

Sum of factor pairs:

-1 + 24 = 23

-2 + 12 = 10

-3 + 8 = 5

-4 + 5 = 1

1 + -24 = -23

2 + -12 = -10

3 + -8 = -5

4 + -5 = -1

From there, we can see that 2 + -12 = -10, so the two numbers to answer your problem will be 2 and -12

Answer 2

numbes: a, b

a x b = -24 (1)

a + b = -10 -> a = -10 - b (2)

from (1)

(-10 - b)b = -24 -> -10b -b² = -24 -> b² +10b - 24 = 0

(b+12)(b-2) = 0

Solution 1: b = -12 -> from (2) a = 2

Solution 2: b = 2 -> from (2) a = - 12

The numbers are -12 and 2

Answer 3

Is this for factoring a quadratic equation? -12 and 2. I can make a video for you if you want.