Cubic Equation Solver Calculator
Handy online Cubic Equation Solver Calculator computes the polynomial expression having an order 3 for complex solutions. You can use this handy tool to get the values in seconds. There is no need to do any mathematical calculations to solve your expression.
Cubic Equation Solver Calculator: Solving the cubic equation is not simple. It involves knowing mathematical concepts such as finding the integer solutions with factor lists or using a discriminant approach. Here, we are offering a better free online cubic equation solver calculator tool that eliminates your tension and provides the answers within no time. Enter your equation as input or provide a, b, c, d values i.e ax3+bx2+cx+d=0 and click on the calculate button to generate the output.
Solving Cubic Equation without a constant
Follow these basic and easy steps to solve the cubic equation without any struggle. Take any expression in the form of ax3+bx2+cx+d=0, where a!=0. You can choose any of these methods for solving it comfortably.
- Let us take an equation ax3+bx2+cx=0
- Factor out x out of the equation x(ax2+bx+c)=0
- Find the factor of the quadratic equation ax2+bx+c manually or using the formula -b+-sqrt(b2-4ac)/2a
Computing Cubic Equation by Finding Integral Solution with Factor Lists
- Check whether your equation has constant or not.
- Find out the factors of d and a.
- Divide the factors of a by factors of d.
- Substitute the integer values in the equation.
- Employ synthetic division for a more complex but likely faster approach.
Examples
Question1: Solve x3+5x2-14x=0?
Answer:
Given that,
x3+5x2-14x=0
x(x2+5x-14)=0
x(x2-2x+7x-14)=0
x(x(x-2)+7(x-2))=0
x((x-2)(x+7)))=0
Therefore solutions are 0, 2, -7
Question2: Solve the equation 2x3+9x2+13x+6=0?
Solution:
Given equation is,
2x3+9x2+13x+6=0
Factors of 2 are 1, 2
Factors of 6 are 1, 2, 3, 6
Divide the factors of 2 by the factors of 6
1, ½, ⅓, ⅙, 2, ⅔, -1, -½, -⅓, -⅙, -2, -⅔
Substitute 1 value in the place of x in equation
2(1)3+9(1)2+13*1+6=2+9+13!=0
Substitute -1
2(-1)3+9(-1)2+13*(-1)+6=-2+9-13+6=0
Likewise substitute -2
2(-2)3+9(-2)2+13*(-2)+6=-2*8+9*4-26+6=0
Substitute -1.5
2(-1.5)3+9(-1.5)2+13*(-1.5)+6=0
So the answer is -1, -1.5, -2
FAQ’s on Cubic Equation Solver Calculator
1. Which website offers the best tool for Solving Cubic equations?
Onlinecalculator.guru is a trusted website that offers the variable values and makes your calculation easy while solving cubic equations.
2. How can you calculate the cubic equation with a calculator?
Simply, you need to enter the a, b, c, d values or equation in the input field and click on the calculate button to get the output immediately.
3. What is the standard form of the cubic equation?
Cubic equation is a polynomial equation having order 3. The standard form of the cubic equation is ax3+bx2+cx=0, where a is a non zero real number.
4. What is the easiest way for solving the cubic equation?
The simple way to solve a cubic equation is by calculating the factors of that equation. Those numbers will be your solution.