9514 1404 393
Answer:
8 ± √34 ≈ {2.169, 13.831}
Step-by-step explanation:
Let x represent one of the numbers. Then the other is 16 -x and their product is ...
x(16 -x) = 30
x^2 -16x = -30 . . . . . eliminate parentheses, multiply by -1
x^2 -16x +64 = 34 . . . . add 64 to complete the square
(x -8)^2 = 34 . . . . . . . . rewrite
x -8 = ±√34 . . . . . . . .square root
x = 8 ± √34 . . . . . . add 8
x ≈ {2.169, 13.831}
