Question

if one root of thr quadratic equation 2x2+2×+k=0 is-1/3 then find the value of k​

Answer 1

Step-by-step explanation:

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Answer 2

The value of k is $\frac{4}{9}$.

Step-by-step explanation:

Given : If one root of the quadratic equation $2x^2+2x+k=0$ is $-\frac{1}{3}$.

To find : The value of k​ ?

Solution :

If  $-\frac{1}{3}$ is the root of quadratic equation then it satisfy the equation.

So, put $x=-\frac{1}{3}$ in the quadratic equation

$2(-\frac{1}{3})^2+2(-\frac{1}{3})+k=0$

$\frac{2}{9}-\frac{2}{3}+k=0$

$\frac{2-6}{9}+k=0$

$\frac{-4}{9}+k=0$

$k=\frac{4}{9}$

Therefore, the value of k is $\frac{4}{9}$.

#Learn more

If x=3 is one root of thr quadratic equation x^2-2x-6=0 then find the value of k.

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