Question

If X=-2 is root of the quadratic equation 3x²-x-2k=0,then find the value of k​

Answer 1

Answer:

The value of k is 7  

Step-by-step explanation:

Given x=-2 is root of the quadratic equation 3x²-x-2k=0,

therefore x=-2 will satisfy the equation.

Then, 3x²-x-2k=0

⇒ 3·(-2)²-(-2)-2k=0

⇒ 12+2-2k=0

⇒2k=14

⇒ k =14/2  = 7