Question

If one root of the equation
${ x}^{2} + kx + 6$
is 2, then find the value
of k and the other root of the equation​

Answer 1

Step-by-step explanation:

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

.