kaileeh99
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

What 2 numbers add up to get 17 and multiply to get 42??

Sagot :

taskmasters
There are several numbers that can be multiplied to get 42. For example 6 and 7 can be multiplied and also 13 and 4 can be multiplied to get 42 as a result. But the question also has an additional part and that part requires the multiplying factors to add up and make 17 as the result. In the case of multiplying 6 and 7 we get 42 but on adding them we get 13. So this cannot be the correct answer. Then if we take 13 and 4, we get 42 by multiplication and 17 by addition. So the correct 2 numbers are 13 and 4.


TSO
[tex]x_{1,2} = \frac{ -17 \pm \sqrt{ 17 ^2 - 4 \cdot 1 \cdot 42} }{ 2 \cdot 1 }[/tex]

[tex]x_{1,2} = \frac{ -17 \pm \sqrt{ 121 } }{ 2 }[/tex]

[tex]x_1 = \frac{ -17~+~\sqrt{ 121 } }{ 2 } = -3[/tex]

[tex]x_2 = \frac{ -17~-~\sqrt{ 121 } }{ 2 } = -14[/tex]

And so [tex]x^2+17x+42 = (x+3)(x+14) \to x = -3, -14[/tex]

But that is what x equals to when you solve it, but by doing it this way we just have to give the opposite sign to the numbers.

So the two numbers are 3 and 14. They add to 17 and multiply to 42.

Hope that helped :)
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.