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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B. 324 square inches
C. 392 square inches
D. 480 square inches