Question

if-2is a root of 3x2+5x+2k then find the value of k
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Answer 1

Answer:

-11

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.

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Answer 2

Answer:

• Value of k is -1.

Step-by-step explanation:

Given:

• -2 is root of 3x² + 5x + 2k

To Find:

• Value of k.

Now, if -2 is root of given equation, then substitute the given value in place of x to find value of k.

⇒ 3x² + 5x + 2k = 0

⇒ 3(-2)² + 5(-2) + 2k = 0

⇒ 3(4) - 10 + 2k = 0

⇒ 12 - 10 + 2k = 0

⇒ 2 + 2k = 0

⇒ 2k = -2

⇒ k = -2/2

⇒ k = -1

Hence, Value of k is -1.