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Having trouble solving quadratic equations using factoring, examples are fine

User AlonS
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Let's solve the quadratic equation using factorization:

x²-9x -22= 0

In order to solve using this method, we should beforehand factorize the polynomial:

The middle number is -9 and the last number is -22.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks? Let's think about two numbers that add up to -9 and multiply together to -22...

These numbers will be -11 and 2:

-11 +2= 9

-11*2= -22

So the factorization is:

(x+2)*(x-11) = 0

That means:

x + 2 =0

and

x - 11 = 0

Solving the equations:

x= -2

x= 11

S= {-2, 11}

User Thyzz
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