Math

Question Solve for xx where 615=5x3615=5x^{3}. Express the answer to the hundredths place.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 615=5x3615 = 5x^3.
2. We need to solve for xx.
3. The solution should be expressed to the hundredths place.

STEP 2

First, we need to isolate the x3x^3 term. To do this, we will divide both sides of the equation by 5.
x3=6155x^3 = \frac{615}{5}

STEP 3

Now, perform the division on the right-hand side of the equation to simplify.
x3=123x^3 = 123

STEP 4

To solve for xx, we need to take the cube root of both sides of the equation.
x=1233x = \sqrt[3]{123}

STEP 5

Calculate the cube root of 123. This can be done using a calculator.
x12334.973x \approx \sqrt[3]{123} \approx 4.973

STEP 6

Round the solution to the hundredths place as requested.
x4.97x \approx 4.97
The solution to the equation 615=5x3615 = 5x^3 is approximately x=4.97x = 4.97.

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