Algebra grouping

Question

Find two numbers whose product is 10x3=30 and whose sum is -11

Answer 1

Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.

5 x 6 = 30.

(-5) x (-6) = 30

(-5) + (-6) = -11.

Answer 2

xy=30 and (x+y)=-11

x=-11-y

(-11-y)y=30

-11y-y²=30

y² + 11y + 30 = 0

(y+6)(y+5)=0

y=-6 and x=-5 or y=-5 and x=-6