Select The Correct Answer.What Is The Value Of $x$ In The Equation $1,331 X^3 - 216 = 0$?A. $ − 6 11 -\frac{6}{11} − 11 6 [/tex] B. $\frac{11}{6}$ C. $\frac{1}{6}$ D. $ 6 11 \frac{6}{11} 11 6 [/tex]

Mar 8, 2025 by ADMIN 214 views

Solving Cubic Equations: A Step-by-Step Guide to Finding the Value of x

Introduction

Cubic equations are a fundamental concept in mathematics, and solving them can be a challenging task. In this article, we will focus on solving a specific cubic equation, $1,331 x^3 - 216 = 0$, and determine the value of $x$. We will break down the solution into manageable steps, making it easier to understand and follow along.

Understanding Cubic Equations

Before we dive into the solution, let's take a moment to understand what a cubic equation is. A cubic equation is a polynomial equation of degree three, which means the highest power of the variable (in this case, $x$) is three. The general form of a cubic equation is:

ax^3 + bx^2 + cx + d = 0

where $a$, $b$, $c$, and $d$ are constants.

The Given Equation

The equation we are given is:

1,331 x^3 - 216 = 0

To make it easier to work with, let's rewrite the equation as:

1,331 x^3 = 216

Step 1: Isolate the Variable

Our goal is to isolate the variable $x$. To do this, we need to get rid of the coefficient $1,331$. We can do this by dividing both sides of the equation by $1,331$:

x^3 = \frac{216}{1,331}

Step 2: Simplify the Right-Hand Side

Let's simplify the right-hand side of the equation:

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331}

x^3 = \frac{216}{1,331<br/> # Solving Cubic Equations: A Step-by-Step Guide to Finding the Value of x