What two numbers multiply to equal -144 and add to equal -24?

x+x=-24\ x\cdot x = 144\ \ 2x=-24 \ \ /: 2\ \x^2=144 \ \x=-12\( -12)^2 =144\ \x=-12\ \144 =144 \ \ Answer :\ it \ is \ ( -12)

Answered by Lilith | 2024-06-10

The **value **of two **numbers **are, 12 and - 36
We have to give that,
**Multiplication **of two numbers = - 144
And, **Add **two numbers = - 24
Let us assume that,
Two **numbers **are x and y.
Hence,
xy = - 144 .. (i)
x + y = - 24
x = - 24 - y .. (ii)
From (i),
y (- 24 - y) =- 144

24y + y² = -144

y² - 24y + 144 = 0
y² - 12y - 12y + 144 = 0
y (y - 12) - 12 (y - 12) = 0
(y - 12) (y - 12) = 0
y = 12
From (ii),
x + y = - 24
x + 12 = - 24
x = - 24 - 12
x = - 36
Hence, Two **numbers **are, 12 and - 36
Learn more about the **multiplication **visit:
https://brainly.com/question/10873737
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Answered by alifaijal77 | 2024-06-17

The two numbers that multiply to -144 and add to -24 are 12 and -36. We solved the equations by expressing one variable in terms of the other and using the quadratic formula. The calculations confirmed both the product and sum conditions of the problem.
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Answered by alifaijal77 | 2024-10-09