Question

find the value of k, if one root of the quadratic equation 2x² + Kx – 2 = 0 is –4.​

Answer 1

Answer:

t is given that -2 is one root of quadratic

equation 2x² + kx -2 = 0

To find value of k , we have to substitute

x = -2 , in equation

2 × (-2)² + k ×( -2 ) - 2 = 0

8 - 2k -2 = 0

6 - 2k = 0

-2k = -6

k = ( -6 )/( -2 )

k = 3

I hope this helps you.

: )

k = -6/2

k = -3

plz mark me as brainlist

Step-by-step explanation:

Answer 2

ANSWER =

$\rm\underline\red{GIVEN EQUATION = }$

2x² + Kx-2 = 0

$\rm\underline\orange{GIVEN ROOT =}$

-4

PUTTING ROOT IN EQUATION,

2(-4)² + K(-4) -2 = 0

2(16) -4K -2 = 0

32 - 4K -2 = 0

32 -2 = 4K

30 = 4K

$\rm\underline\blue{K = 30/4}$

_____

◆THE VALUE OF K IS 30/4