The value of k so that the equation 2×2 + (4- k)x – 17 = 0 has one root equal but opposite in sign is ​

Question

The value of k so that the equation
2×2 + (4- k)x – 17 = 0 has one root
equal but opposite in sign is

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Verity 1 year 2021-09-04T00:20:47+00:00 1 Answers 268 views 0

Answers ( )

    0
    2021-09-04T00:22:00+00:00

    Answer:

    4

    Step-by-step explanation:

    Given the equation :

    2x²+ (4- k)x – 17 = 0

    a = 2, c = – 17 b = (4 – k)

    For the equation above to have one root; equal but opposite in sign

    Then;

    (ax + c) = 0 and b = 0

    Since b = 0, the we can solve for k

    b = 4 – k

    b = 0

    4 – k = 0

    4 = k

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