Question

for what value of k is -2 a root of the equation 3 X square + 4 x + 2 K is equal to zero​

Answer 1

Answer:

the value of k is -14

Explanation:

3x^2+4x+2k=0

(3×-2)^2 +4×-2+2k=0

-6^2+(-8)+2k=0

36-8+2k=0

28+2k=0

2k=-28

k=-28/2

k=-14. ✓✓✓

Answer 2

${ \huge{ \underline{ \underline{ \sf{ \green{GivEn : }}}}}}$

• f(x) = 3x² + 4x +2k

${ \huge{ \underline{ \underline{ \sf{ \green{To \: find :}}}}}}$

• For what value of k is -2 a root of the equation 3x² + 4x +2k is equal to zero?

${ \huge{ \underline{ \underline{ \sf{ \green{SoluTion : }}}}}}$

Let -2 be a root of the given equation.

Putting x = -2 :-

⟼ 3x² + 4x +2k = 0

⟼3 × (-2)² + 4 (-2) +2k = 0

⟼ 12 - 8 + 2k = 0

⟼ 4 + 2k = 0

⟼ k = -2

Hence, the value of k is = -2

_________________★________________________________

Verification :-

3x² + 4x +2k

= 3 × (-2)² + 4 (-2) +2 (-2)

= 12 -12

= 0

(verified)