Question

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

Answer 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