Question

Need help???!!!! Please

1-What numbers multiply to be 24 and add to be 14?

A. 2&12
B. 1&24
C. 3&8
D. 4&6

2- What numbers multiply to be
24 and add to be 10?

A. 2&12
B. 1&24
C. 388
D. 486

Answer 1

1) 2 and 12

2) 12 and -2.

Explanation:1)Below we illustrate and prove that 2 and 12 multiply to 24 and add up to 14:

2 × 12 = 24

2 + 12 = 14

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 + 14x + 24 = 0

If so, the solution to factor the quadratic equation above is:

(x + 2 ) (x + 12)

To summarize, since 2 and 12 multiply to 24 and add up 14, you know that the following is true:

x2 + 14x + 24 = (x + 2 ) (x + 12)

2)x + y = 10 and xy = -24

Since xy = -24, y = -24/x.

So, x - 24/x = 10

x2 - 24 = 10x

x2 - 10x - 24 = 0

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

So, x = 12 or -2

The numbers are 12 and -2.

Answer 2

Answers in bold:

1. Choice A) 2 and 12
2. Choice D) 4 and 6

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Step-by-step explanation:

This is something you do using trial and error. Here are the ways to multiply to 24 using positive factors

• 1*24
• 2*12
• 3*8
• 4*6

We cross "1*24" off the list since 1+24 = 25 when we want the factors to add up to 14. But 2+12 = 14 works perfect.

Problem 2 is handled the same way, but this time 4+6 = 10 is what we're after.