Question

Solve the equation by finding the linear factors and the zeros of x^2-14x+13=0

Answer 1

Yea I checked and x= -13

Answer 2

Answer:

x= -13

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13  

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   14 .

     -13    +    -1    =    -14  

     -1    +    -13    =    -14  

     1    +    13    =    14    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  13  

                    x2 + 1x + 13x + 13

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+1)

             Add up the last 2 terms, pulling out common factors :

                   13 • (x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+13)  •  (x+1)

            Which is the desired factorization