Answer:
x = 5 and x = 1 are the factors
Step-by-step explanation:
step 1)
identify the a, b, and c values (a=1 b= -6 c=5)
step 2)
plug them into the quadratic formula
x = -(-6) ± √(-6)² - 4(1)(5) / 2(1)
step 3)
multiply -1 by -6 to get 6
x = 6 ± √(-6)² - 4(1)(5) / 2(1)
step 4)
multiply -6 by -6 to get 36
x = 6 ± √36 - 4(1)(5) / 2(1)
step 5)
multiply 4 by 1 to get 4
x = 6 ± √36 - 4(5) / 2(1)
step 6)
multiply 4 by 5 to get 20
x = 6 ± √36 - 20 / 2(1)
step 7)
subtract 36 by 20 to get 16
x = 6 ± √16 / 2(1)
step 8)
take the square root of 16 to get 4
x = 6 ± 4 / 2(1)
step 9)
multiply 2 by 1 to get 2
x = 6 ± 4 / 2
step 10)
add 6 by 4 to get 10
x = 10 / 2
step 11)
divide 10 by 2 to get 5 (now you know the first factor is x=5)
x = 5
step 12)
subtract 6 by 4 to get 2
x = 2 / 2
step 13)
divide 2 by 2 to get 1 (now you have found the final factor x=1)
step 14)
you know know that the factors of x²- 6x + 5 are x = 5 and x = 1
