Question

Hey what are two numbers whose product is 160 and sum is 20√8.​

Answer 1

Answer:

When it doubt, resort to the “two equations in two unknowns” and try to solve by substitution:

x+y=16 or x=16-y put that in for x in xy=160 giving (16-y)y = 160 or

-1*y ^2 +16y -160 = 0 in the quadratic equation solving formula gives:

y=8 + 4i sqrt(6) or y=8 - 4i sqrt(6)

That’s one of the numbers, put it back into one of the equations for the other.