Question

How do you solve `x^2+2x-13=2`?

Answer 1

`x=-5" or "x=3`

Explanation:

`"express in standard form "color(white)(x)ax^2+bx+c=0`

`"subtract 2 from both sides"`

`rArrx^2+2x-15=0`

`"the factors of - 15 which sum to + 2 are + 5 and - 3"`

`rArr(x+5)(x-3)=0`

`"equate each factor to zero and solve for x"`

`x+5=0rArrx=-5`

`x-3=0rArrx=3`