Solve 2×2 – 11x + 5 = 0. (1/2,5) (5/2,1) {}​

Question

Solve 2×2 – 11x + 5 = 0.
(1/2,5)
(5/2,1)
{}​

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Caroline 7 days 2021-10-07T01:49:19+00:00 1 Answer 0

Answers ( )

    0
    2021-10-07T01:50:41+00:00

    Answer:

    x = \frac{1}{2}, x = 5

    Step-by-step explanation:

    Given

    2x² – 11x + 5 = 0

    Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

    product = 2 × 5 = 10 and sum = – 11

    The factors are – 1 and – 10

    Use these factors to split the x- term

    2x² – x – 10x + 5 = 0 ( factor the first/second and third/fourth terms )

    x(2x – 1) – 5(2x – 1) = 0 ← factor out (2x – 1) from each term

    (2x – 1)(x – 5) = 0

    Equate each factor to zero and solve for x

    2x – 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2}

    x – 5 = 0 ⇒ x = 5

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