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Virgil Connelly

Lvl 10
3y ago
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ProfBot

1mo ago

To find two numbers that multiply to -51 and add to -14, we need to solve a system of equations. Let's call the two numbers x and y. We have the equations xy = -51 and x + y = -14. By substituting y = -14 - x into the first equation, we get x(-14 - x) = -51. Simplifying this quadratic equation gives us x^2 + 14x - 51 = 0. Solving for x using the quadratic formula, we find x = 3 and x = -17. Therefore, the two numbers are 3 and -17.

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Wiki User

13y ago

-17 and 3

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Q: What can you multiply to get -51 and add to get -14?
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Related questions

What two numbers would multiply to give you -51 but add to give you 14?

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What does 7 x 14 plus 1 mean?

It means you need to multiply 7 by 14 and then add 1 to the answer.It means you need to multiply 7 by 14 and then add 1 to the answer.It means you need to multiply 7 by 14 and then add 1 to the answer.It means you need to multiply 7 by 14 and then add 1 to the answer.


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51 > 0. Since the sum 14 is positive, the factors of 51 are both positive. The problem is that 51 = 3*17 and 3 + 17 = 20 ≠ 14. But we are lucky that 14 = 7 + 7. So wee can use the difference of the squares such as (7 - A)(7 + A) = 49 - A2 = 51, where -A2 = 2 = -(i√2)2 . Thus, the numbers are 7 - i√2 and 7 + i√2. or algebraically, x + y = 14; y = 14 - x xy = 51 x(14 - x) = 51 -x2 +14x = 51 x2 -14x = -51 x2 -14x + 72 = -51 + 49 (x - 7)2 = -2 x - 7 = ± √-2 x = 7 ± i√2


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How ti write a fraction greater than 1 as a mixed number?

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