Find two numbers whose product is 25 and whose sum is -10

A product is an answer to a multiplication problem and sum is the answer to an addition problem.

25 is the product, and -10 is the sum.

Factors of 25 is 5 and 5.

-5+-5=10.

But two negatives multiplied equals a positive.

-5 x -5=25

-5 + -5 = 10

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The two numbers are -5 and -5

Step-by-step explanation:

Let x and y be the two numbers respectively

xy = 25  --(1)

x + y = -10 --(2)

From (1), x = y/25

Sub x = y/25 into (2)

25/y + y = -10

25 + y^2 = -10y

y^2 + 10y + 25 = 0

y = -5

Sub y = -5 into (1)

x = -5

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step-by-step explanation: