Question

What two numbers multiply to equal -50 but adds up to equal 5

Answer 1

Answer:

-5 × 10 = -50

-5 + 10 = 5

brainliest

Answer 2

Answer:

10 and -5

Step-by-step explanation:

x + y = 5

xy = -50

y = 5 - x

x(5-x) = -50

5x - x^2 = -50

x^2 - 5x - 50 = 0

from there on we can solve the classic way

$\Delta = (-5)^2 - 4\cdot1\cdot(-50) = 25 + 200 = 225\\\sqrt{\Delta} = 15\\x_1 = \frac{5 - 15}{2} = -5\\x_2 = \frac{5+15}{2} = 10\\y_1 = 5 - x_1 = 10\\y_2 = 5 - x_2 = -5$

Everything checks out.