Question

.Which of the following is the value of k if the roots of 2x2 + kx -2 = 0 is -2?​

Answer 1

Answer:

I think your equation is like this 2x²+kx-2=0 is -2

Step-by-step explanation:

See the root is already given you just need to put it in the place of x

Therefore:-

2×(-2)²+k×-2-2=0

4-2k-2=0

2-2k=0

2=2k

K=1

It is that simple

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Answer 2

Answer:

✡k=3 ☑

Step-by-step explanation:

We have given root of equation.so we put the value of x= -2 .

2x²+kx-2=0

2×(-2)²+k×(-2)-2=0

2×4-2k-2=0

8-2-2k=0

-2k=( -6)

k= (-6) /(-2)

k= 3

Proof⤵

2x²+3x -2

2x²+4x-x-2

2x(x+2) -1(x+2)

(2x-1) (x+2)

x+2=0 or 2x-1= 0

x= -2 or 2x= 1 ➡x=1/2

Hence proofed.

Hope this is helpful to you!