Question

x^2-5x=14

Answer 1

Hi I am willing to help. First we are going to subtract 14 off both sides of the equation. than factor and than we will have to solutions

Answer 2

x^2-5x-14

(x-7)(x+2)


our solutions are x=7 and x=-2

Answer 3

rewrite the equation as

\[x^2 - 5x - 14 = 0\]


this can be solved by factoring

find the factors of -14 that add to -5

hint: the larger factor is negative

then its

(x + factor 1)(x + factor 2) = 0

to find the solutions its then

x + factor 1 = 0

and

x + factor 2 = 0


hope it helps

Answer 4

\({\bf x^2-5x=14\implies x^2-5x-14=0}\large \qquad
\begin{array}{cccl}
x^2&-5x&-14&=0\\
&\uparrow &\uparrow \\
&-7+2&-7\cdot +2
\end{array}\)

Answer 5

Thank You so much!