## 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

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

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4 weeks 2021-09-19T05:39:11+00:00 2 Answers 0

C

Step-by-step explanation:

The sum of the roots = – that is x₁ + x₂ = – x₁ = 2 and x₂ has to be found

Given

x² – 6x + 8 = 0

with a = 1, b = – 6, c = 8, then

2 + x₂ = – = 6 ( subtract 2 from both sides )

x₂ = 4

The other solution is x = 4 → C

2. Step-by-step 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
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