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

Answers ( )

    0
    2021-09-19T05:40:12+00:00

    Answer:

    C

    Step-by-step explanation:

    The sum of the roots = – \frac{b}{a}

    that is x₁ + x₂ = – \frac{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 = – \frac{-6}{1} = 6 ( subtract 2 from both sides )

    x₂ = 4

    The other solution is x = 4 → C

    0
    2021-09-19T05:40:56+00:00

    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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