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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