Question

Blake knows that one of the solutions to x2 – 6x + 8 = 0 is x = 2. What is the other solution? A. x = –6 B. x = –3 C. x = 4 D. x = 8

Answer 1

C

Explanation:

The sum of the roots = -
`(b)/(a)`

that is x₁ + x₂ = -
`(b)/(a)`

x₁ = 2 and x₂ has to be found

Given

x² - 6x + 8 = 0

with a = 1, b = - 6, c = 8, then

2 + x₂ = -
`(-6)/(1)` = 6 ( subtract 2 from both sides )

x₂ = 4

The other solution is x = 4 → C

Answer 2

Explanation:

x2 - 6x + 8 = 0

x2 - 4x - 2x + 8 = 0

x(x - 4) - 2(x - 4) = 0

(x-4)(x-2) =0

x-4 = 0. x-2 = 0

x = 4. x = 2

Option C is the correct answer