Question

Which of the following is a solution of the equation : x² - 6x + 5 = 0 *

2

5

9

15

​

Answer 1

Answer:

x=5

Step-by-step explanation:

.1 Factoring x2-6x+5

The first term is, x2 its coefficient is 1 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 1 • 5 = 5

Step-2 : Find two factors of 5 whose sum equals the coefficient of the middle term, which is -6 .

-5 + -1 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -1

x2 - 5x - 1x - 5

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

x • (x-5)

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

1 • (x-5)

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

(x-1) • (x-5)

Which is the desired factorization

Equation at the end of step

1

:

(x - 1) • (x - 5) = 0