Question

what multiplies to equal 168 but adds up to -34

Answer 1

so let the numbers be x and y

looking at the question they would both have to be negative numbers

so you know

\[x \times y = 168\]

and

\[x + y = -34\]

so use some substitution

take the 2nd equation and make x the subject

\[x = -34 - y\]

and substitute into the 1st equation

\[(-34 -y) \times y = 168\]

which becomes

\[-34y - y^2 = 168....or..... y^2 + 34y + 168 = 0\]

which factors to (y + 28)(y + 6) = 0

so the solutions are -28 and - 6

hope it helps

Answer 2

wow, thts a lot more than i expected, thanks