Question

Solve x² + 3x - 18 = 0.O X =- 9 or x = 2X =O○ x = 6 or x = − 36 or x = 3x = 9 or x = -2

Answer 1

We can to note that the given quadratic polynomial on the left hand side can be rewritten as follows:

`x^2+3x-18=(x+6)(x-3)`

So, the given equation is equivalent to

`(x+6)(x-3)=0`

which implies to conditions:

`\begin{gathered} x+6=0 \\ or \\ x-3=0 \end{gathered}`

The former give us

`x=-6`

and the latter

`x=3`

Then, by comparing with the given options, the correct choice is the second one: x=-6 or x=3