if one root of the quadratic equation is 2/3, then find the value of k.
CLASS 10, CHAPTER- QUADRATIC EQUATION​

if one root of the quadratic equation is 2/3, then find the value of k.
CLASS 10, CHAPTER- QUADRATIC EQUATION​

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  1. Answer:

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    Step-by-step explanation:

    Given: Since x=2 is a root of the equation

    2x

    2

    +kx−6=0

    ∴2×2

    2

    +2k−6=0⇒8+2k−6=0⇒2k+2=0⇒k=−1

    Putting k=−1 in the equation 2x

    2

    +kx−6=0,

    Now to find other root of given equation

    2x

    2

    −x−6=0⇒2x

    2

    −4x+3x−6=0

    ⇒2x(x−2)+3(x−2)=0

    ⇒(x−2)(2x+3)=0⇒x−2=0,2x+3=0

    ⇒x=2,x=

    2

    −3

    Hence the other root is

    2

    −3

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