Math Calculator
Advanced math calculator for algebra, trigonometry, calculus, and more. Solve equations, calculate derivatives, integrals, and perform complex mathematical operations.
Math Calculator
Math Results
Enter coefficients to solve equation
Math Calculator Examples
Common Math Problems
- • Quadratic: x² - 5x + 6 = 0 → x = 2, 3
- • Linear: 2x + 4 = 0 → x = -2
- • Derivative: d/dx(x² + 3x + 2) = 2x + 3
- • Integral: ∫(x² + 3x + 2)dx = (1/3)x³ + (3/2)x² + 2x + C
Math Tips
- • Check Solutions: Substitute back into equation
- • Discriminant: Determines number of solutions
- • Derivatives: Rate of change
- • Integrals: Area under curve
- • Practice: Work through examples
Frequently Asked Questions About Math Calculator
What types of equations can this math calculator solve?
Our math calculator can solve various types of equations: linear equations (ax + b = 0), quadratic equations (ax² + bx + c = 0), and cubic equations (ax³ + bx² + cx + d = 0). It also calculates derivatives and integrals of polynomials. The calculator shows step-by-step solutions, formulas used, and explanations to help you understand the mathematical process.
How do I solve a quadratic equation?
To solve a quadratic equation (ax² + bx + c = 0), enter the coefficients a, b, and c into our calculator. The calculator uses the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a. It will show you all real solutions (roots), and if the discriminant (b² - 4ac) is negative, it will indicate complex solutions. The calculator also explains whether there are two real solutions, one solution, or no real solutions.
What is a cubic equation and how is it solved?
A cubic equation is a polynomial equation of degree 3 (ax³ + bx² + cx + d = 0). Our calculator can solve cubic equations using Cardano's method or numerical methods. Enter the coefficients a, b, c, and d, and the calculator will find all real and complex roots. Cubic equations can have one, two, or three real solutions depending on the coefficients.
How does the derivative calculator work?
Our derivative calculator calculates the derivative of polynomial functions. Enter the coefficients of your polynomial, and the calculator applies the power rule: the derivative of xⁿ is nxⁿ⁻¹. For example, the derivative of 3x² + 2x + 1 is 6x + 2. The calculator shows the derivative function and explains the differentiation process step by step.
Can I use this calculator for homework and exams?
Yes, our math calculator is suitable for homework, studying, and understanding mathematical concepts. However, always check with your teacher or exam guidelines about calculator use during exams. The calculator is excellent for checking your work, understanding solution methods, and learning how different types of equations are solved. Always show your working and understand the methods, not just the answers.
What if my equation has no real solutions?
If an equation has no real solutions, it means all solutions are complex numbers (involving the imaginary unit i = √(-1)). Our calculator will indicate when solutions are complex and can show complex solutions for cubic equations. For quadratic equations, if the discriminant is negative, the solutions are complex. This is normal in mathematics and indicates the equation doesn't intersect the x-axis in real number space.