Problema Solution
Two integers have a product of 48 and a sum of -14, list all the possible pairs?
Answer provided by our tutors
let 'x' and 'y' represent the integers
their sum is -14
x + y = -14
y = -14 - x
their product is 48:
xy = 48
x(-14 - x) = 48
by solving we find:
x1 = - 6
x2 = - 8
click here to see the step by step solution of the quadratic equation:
for x = -6 we have y = -14 - (-6) = - 8
for x = -8 we have y = - 14 - (-8) = - 6
the list of all the possible pairs is (-6, -8) and (-8, -6).