Question

X^2 - 10x + 9 = 0 Factor and solve

Answer 1

${ x }^{ 2 }-10x+9$

First you should ask, which two numbers add up to -10 and multiply to 9.

-9 and -1 add up to -10 and multiply to 9.

$(-9)+(-1)=-10$

$(-9)(-1)=9$

So we can factor and rewrite like this ;

$(x-9)\cdot (x-1)$

Let's equal it to 0 again.

$\\ (x-9)\cdot (x-1)=0$

The multiplication of (x-9) and (x-1) is equal to 0

So we should equal them to 0 seperately to find the solution set

$x-9=0\\ \\ x=0+9\\ \\ x=9$

and

$x-1=0\\ \\ x=0+1\\ \\ x=1$

The solution set,

${ x }_{ 1,2 }\quad =\quad \left\{ 9,\quad 1 \right\}$

Answer 2

Have a nice day!
______________