Question

If 3x4+2=56.8, what is the value of x?

x≈6.708
x≈−4.323
x≈−2.891
x≈−2.059

Answer 1

To solve the equation
`3x^4 + 2 = 56.8` for x, we subtract 2, divide by 3, and take the fourth root to find that x approximately equals −2.059, which matches option (d)

Step-by-step explanation:

Given the equation
`3x^4 + 2 = 56.8`, we need to solve for the value of x. First, let's isolate the term with x by subtracting 2 from both sides of the equation, which gives us
`3x^4 = 54.8.`Now, divide both sides by 3 to obtain
`x^4 = 18.267`. Next, take the fourth root of both sides to find the value of x. Since the fourth root of a positive number can be both positive and negative, we have to calculate it:

`x = \±(18.267)^((1/4))`

But since none of the provided options are positive, we only consider the negative value of the fourth root, which approximates to x ≈ −2.059.

Therefore, the correct answer from the given options is x ≈ −2.059.

Answer 2

d. x= -2.059

Step-by-step explanation:

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