Question

What two numbers add to -15 but multiply to 50

Answer 1

Answer:

-10 and -5

Step-by-step explanation:

setting variables x and y to represent my two numbers

x+y = -15

xy = 50

y = -15-x (derived from first equation by isolating y)

plugging in y into the second equation

x(-15-x) = 50

$-15x-x^2=50$

$x^2+15x+50=0$

factoring ...

(x+10)(x+5) = 0

x = -10, or -5

testing x = -10

-10+y=-15

y = -5

-10 * -5 = 50

your two numbers are -10 and -5

IF you wanted to test -5

-5 + y = -15

y = -10

-5 * -10 = 50

you get the same answer, but this will not always be the case

Answer 2

Answer:

-10 and -5

Step-by-step explanation:

Add -10 and -5 and you get -15, multiply the two and you'll get positive 50, because multiplying two negative numbers gives you a positive number, in this case 50.