What times what equals 14 but added equals 33?

Answer 1

47

Answer 2

[33 + SQRT (1033)]/2 & [33 - SQRT (1033)]/2

You have two equations & two unknowns:

x*y = 14

x + y = 33

Rearrange the first equation for y * substitute into the second. Then solve for x.

y = 14/x

x + (14/x) = 33

x *[x + (14/x) = 33]

x2 + 14 = 33x

x2 - 33x + 14 = 0

Use the quadratic equation to solve for x, where a=1, b=-33, c=14 and you should get the answers listed above. Hope that helps.