Question

If - 2 is a root of the equation 3x^2-5x+2k=0, find the value of k

Answer 1

Answer:

Step-by-step explanation:

-2 is the root of the equation. So x = -2.

Putting value of x in the equation.

3(-2)^2 - 5(-2) +2k = 0

3*4 + 10 + 2k = 0

12 + 10 + 2k =0

22 + 2k = 0

2k = -22

k = -22/2

k = -11

Thus the value of k is -11.

Answer 2

Given Quadratic Equation,

 3x² - 5x + 2k = 0

Now, -2 is the Root of this equation, this means, if we substitue the value of tthis root in this equation then it will give us the answer as 0.

∴ Let us substitute it.

  3x² - 5x + 2k = 0

∴ 3(-2)² - 5(-2) + 2K = 0

∴ 3(4) + 10 + 2K = 0

2K + 22 = 0

2K = -22

∴ K = -11

Hence, the value of the K is -11.

Hope it helps .