Study Companion
Advanced Math Calculator
Work through algebra homework faster—factor quadratics, convert fractions, and differentiate polynomials with guided steps and saved history.
Enter coefficients a, b, c to compute discriminant and roots for ax² + bx + c = 0.
Quick examples
Results
Discriminant
49
Roots
- x1 = 5
- x2 = -2
Step-by-step explanation
- Δ = b² - 4ac = 9 - -40 = 49
- Two real roots because Δ > 0
- x₁ = (-b + √Δ) / (2a) = 5
- x₂ = (-b - √Δ) / (2a) = -2
Saved history
Saved results will appear here for quick revision.
How to use the advanced math calculator
Solve algebra and calculus problems with guided steps.
- Pick a mode
Select quadratic solver, fraction simplifier, or derivative steps based on your equation.
- Enter values
Provide coefficients, numerators and denominators, or polynomial expressions using x terms.
- Review explanations
Toggle step-by-step mode to see the rules applied and save the solution to history for revision.
Case study: Exam prep session
Priya prepares for a calculus quiz while tutoring classmates in algebra.
- Quadratic
- x^2 - 5x + 6 = 0
- Derivative
- s(x) = 4x^3 - 2x^2 + x
- Quadratic review
She solves the quadratic, checks complex root handling, and saves the result for practice.
- Fraction refresher
Simplifies 125/500 to verify discount calculations while helping a friend.
- Derivative drill
Uses derivative mode to confirm the velocity equation and evaluates it at x = 2.
Study takeaway
Priya exports the steps to share with classmates and feels confident for the quiz.
Advanced math FAQs
Can the quadratic solver handle complex roots?
Yes. Negative discriminants produce complex conjugate roots with real and imaginary parts.
What expressions can the derivative tool handle?
It currently supports polynomials written in x. Trigonometric support will be added later.
How precise is the fraction simplifier?
Fractions reduce to lowest terms and show decimal and percent equivalents rounded to six places.
Further reading
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