joaleruiz72
Answered

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If 2 is one root of the equation 4x3 + kx - 24 = 0, then the value of k is

a) -1
b) -4
c) 8
d) impossible to determine

If 2 Is One Root Of The Equation 4x3 Kx 24 0 Then The Value Of K Is A 1 B 4 C 8 D Impossible To Determine class=

Sagot :

xKelvin

Answer:

B

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle 4x^3 + kx - 24 = 0[/tex]

And that x = 2 is a root. And we want to determine the value of k.

By definition, since x = 2 is a root of the equation, when x = 2, the equation must equal zero:

[tex]\displaystyle 4(2)^3 + k(2) - 24 = 0[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} 4(2)^3 + k(2) - 24 & = 0 \\ \\ 32 + 2k - 24 & = 0 \\ \\ 2k + 8 & = 0 \\ \\ k & = - 4\end{aligned}[/tex]

Hence, the value of k is -4.

In conclusion, our answer is B.

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