Question

If one root of the equation 2x² + Kx-6= 0 is 2. then the value of K+I is​

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10th

Maths

Quadratic Equations

Solutions of Quadratic Equations

If one root of the quadrati...

MATHS

If one root of the quadratic equation 2x

2

+kx−6=0 is 2, find the value of k. Also, find the other root.

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ANSWER

Since x=2 is a root of the equation

2x

2

+kx−6=0

2k+2=0

k=−1

Putting k =-1 in the given equation, we get,

2x

2

−x−6=0

(x−2)(2x+3)=0

x=2,−

2

3

Hence, the other root is −

2

3

.