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Hi, please help me, explain please
If the number 2 is one of the roots of the equation 2x ^ 2 + 3x + k = 0 ,then find the value of k.​


Sagot :

Answer:

[tex] \sf \hookrightarrow \: {2x}^{2} + 3x + k = 0 \\ \sf \hookrightarrow \: 2 {(2)}^{2} + 3(2) + k = 0 \\ \sf \hookrightarrow \: 2 \times 4 + 6 + k = 0 \\ \sf \hookrightarrow \: 8 + 6 + k = 0 \\ \sf \hookrightarrow \: 14 + k = 0 \\ \sf \hookrightarrow \: k = - 14[/tex]

Answer:

Step-by-step explanation:

1) substitute x with 2

2*2^2 + 3*2 + k = 0

2) solve the equation

8 + 6 + k = 0

k  + 14 = 0

k = -14

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