Question

factorise the equation. x²+x-6=0

Answer 1

Answer:

Factors of $x^2+x-6$ are $(x-2)$ and $(x+3)$ and solutions are $x=2,-3$

Step-by-step explanation:

 $x^2+x-6=0$

$\Rightarrow x^2+3x-2x-6=0$, split the middle term

$\Rightarrow (x^2+3x)+(-2x-6)=0\\\Rightarrow x(x+3)-2(x+3)=0\\\Rightarrow (x+3)(x-2)=0$

$\Rightarrow x+3=0$ or $x-2=0$

$\Rightarrow x=-3$ or $x=2$