# Question 43385

Mar 27, 2017

$x = - 3 \text{ or } x = 1$

#### Explanation:

To solve a $\textcolor{b l u e}{\text{quadratic equation}}$ express it in the form.

• ax^2+bx+c=0#

$\text{Rearrange " 2x+x^2=3" into this form}$

$\Rightarrow {x}^{2} + 2 x - 3 = 0$

To factorise consider the product of the factors of -3 which sum to 2.

These are 3 and - 1

$\Rightarrow \left(x + 3\right) \left(x - 1\right) = 0$

$x + 3 = 0 \Rightarrow x = - 3 \text{ or}$

$x - 1 = 0 \Rightarrow x = - 1$