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

x= -13

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