Question

X^2-x=2
I know x=2 but i need the work

Answer 1

\[x^{2} - x - 2 = 0\]

Answer 2

how about x=-1, it works too right ?

Answer 3

in general, if u have degree of 2, you will have 2 solutions that will work

Answer 4

you can factor and set each factor = 0 and solve for x.

Answer 5

use the quadratic formula on your second order polynomial in the form of ax^2 + bx + c = 0

\[x_{1and2} = \frac{ -b \pm \sqrt{b^2 - 4ac} }{ 2a}\]

Answer 6

1st x from using the minus sign in plus-minus and 2nd x using the plus sign

Answer 7

\[x^2 - x - 2 = \left(x-2\right)\left(x+1\right)=0 \Rightarrow x-2 = 0 \text{ or } x+1 = 0\]