Find two numbers whose sum 5is and whose product is-50 . Write the answers as integers or simplified fractions.

Answer 1

x + y = 5 and xy = -50

y = 5-x ---> x(5-x) = -50

5x - x^2 = -50

0 = x^2 - 5x - 50

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

x-10 = 0 ---> x = 10

x+5 = 0 --> x = -5

10 and -5