joaleruiz72
Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.