Question

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

Answer 1

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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hope it helps

Answer 2

The two numbers are -5 and -5

Explanation:

Let x and y be the two numbers respectively

xy = 25 --(1)

x + y = -10 --(2)

From (1), x = 25/y [You get x in terms of y]

Sub x = 25/y into (2)

25/y + y = -10 [Equation (2) is x + y = -10, but you got x = 25/y]

[Multiple the whole equation by y]

25 + y^2 = -10y

y^2 + 10y + 25 = 0 [This is a quadratic equation if you don't know]

y = -5

Sub y = -5 into (1)

x = -5