Question

If one root of the quadratic equation 2x2 + 2x + k = 0 is
OR
value of k.
ation 2x² + 2x + k = 0
then find the​

Answer 1

Dear is one root of the equation is 0?

will you please correct it , it is not clear .

If so I will surely answer your question.

Answer 2

The value of $k=\frac{4}{9}$

Step-by-step explanation:

Given quadratic equation :

$2x^2+2x+k=0$

One root of given equation is $-\frac{1}{3}$

It -1/3 is a root then it satisfied the given equation

Now, substitute the value of x=-1/3 then we get

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

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

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

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

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

Hence, the value of $k=\frac{4}{9}$

#Learn more:

https://brainly.in/question/11317799:Answered by pinquancaro