If one root of the quadratic equation 2×2

+ kx + 4 =0 is -2 then the value of k is

(A)12 (B) 6 (C)-6 (D) -12

If one root of the quadratic equation 2×2

+ kx + 4 =0 is -2 then the value of k is

(A)12 (B) 6 (C)-6 (D) -12​

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2 thoughts on “If one root of the quadratic equation 2×2<br /><br />+ kx + 4 =0 is -2 then the value of k is<br /><br />(A)12 (B) 6 (C)-6 (D) -12”

  1. Given : If one root of the quadratic equation 2x² + kx + 4 =0 is -2 then the value of k is (A)12 (B) 6 (C)-6 (D) -12

    Answer :

    we know that, if a is the root of f(x) , then,

    • f(a) = 0 .

    so,

    → f(x) = 2x² + kx + 4

    → f(-2) = 2(-2)² + k(-2) + 4

    → 2 * 4 – 2k + 4 = 0

    → 2k = 8 + 4

    → 2k = 12

    → k = 6 (B) (Ans.)

    Hence, value of k will be 6 .

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