Question

Question #43385

Answer 1

`x=-3" or " x=1`

Explanation:

To solve a `color(blue)"quadratic equation"` express it in the form.

`• ax^2+bx+c=0`

`"Rearrange " 2x+x^2=3" into this form"`

`rArrx^2+2x-3=0`

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

These are 3 and - 1

`rArr(x+3)(x-1)=0`

`x+3=0rArrx=-3" or"`

`x-1=0rArrx=-1`