What times what equals -144 and adds to equal -24

Answers

Answer 1

Answer: 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)

Answer 2

Answer:

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

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