find x when...
0= (x^4) + 2x^3 -1
To find the value of x in the equation 0 = x^4 + 2x^3 - 1, we need to solve for x. Here's how you can find the solution:
Step 1: Start with the equation 0 = x^4 + 2x^3 - 1.
Step 2: Try to factor the equation if possible. Unfortunately, the given equation cannot be easily factored.
Step 3: Next, we can use numerical methods or techniques to approximate the value of x. One common method is the Newton-Raphson method, which requires an initial guess value for x.
Step 4: Let's use an online calculator or software that can solve equations numerically. We can enter the equation 0 = x^4 + 2x^3 - 1 and utilize the calculator to find the solution. The input can be in the form of "solve x^4 + 2x^3 - 1 = 0."
Step 5: Once the calculator completes the calculation, it will provide the solution for x. In this case, there might be multiple solutions or complex numbers depending on the equation.
In summary, to find the value of x in the equation 0 = x^4 + 2x^3 - 1, you can use an online calculator or software to solve the equation numerically, as it cannot be easily factored.