Question

Factoring quadratic trinomials.
List down all the factors of (13).
List down the sum of (40).
Identify which two factors add up to 13.
x^2 + 13x + 40
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Answer 1

Answer:

The correct solution is "x = -5 and x = -8".

Step-by-step explanation:

The given equation is:

⇒ $x^2+13x+40=0$

On factorizing the above equation, we get

⇒ $x^2+5x+8x+40=0$

On taking "x" common, we get

⇒ $x(x+5)+8(x+5)=0$

⇒         $(x+5)(x+8)=0$

Now,

⇒                       $x+5=0$

On subtracting "5" from both sides, we get

⇒                 $x+5-5=0-5$  

⇒                             $x=-5$

Or,

⇒                        $x+8=0$

On subtracting "8" from both sides, we get

⇒                  $x+8-8=0-8$

⇒                              $x=-8$