7 min read
How to Solve Quadratic Equations: 3 Methods with Examples
Learn how to solve quadratic equations using the quadratic formula, factoring, and completing the square. Step-by-step worked examples with clear explanations.
Step-by-step tutorials with worked examples, formulas, and links to our free calculators.
Learn how to solve quadratic equations using the quadratic formula, factoring, and completing the square. Step-by-step worked examples with clear explanations.
Learn how to find the slope of a line using the slope formula, rise over run, and slope-intercept form. Covers parallel and perpendicular slopes with worked examples.
Master probability calculations with clear explanations of basic probability, conditional probability, independent events, and combinations. Includes real-world worked examples.
Learn how to calculate percentages step by step. Covers the core formula, percentage increase and decrease, finding a percentage of a number, and common mistakes to avoid.
Master differentiation with this guide to derivative rules. Covers the power rule, product rule, quotient rule, and chain rule with step-by-step KaTeX examples.
Understand standard deviation from the ground up. Learn the difference between population and sample standard deviation with a full worked example using a real dataset.
Learn the compound interest formula A = P(1 + r/n)^(nt) with three fully worked examples. Understand how compounding frequency affects your returns.
Learn what z-scores mean, how the bell curve works, and how to use z-score tables. Includes worked examples and links to our standard deviation calculator.
Master three methods for solving systems of linear equations: substitution, elimination, and matrices. Step-by-step worked examples for each approach.
Master logarithms from the basics to advanced rules. Covers log properties, change of base formula, and real-world applications in science and finance.
Learn multiple methods for calculating triangle area and perimeter, including base times height, Heron's formula, and trigonometric methods with worked examples.
Learn what eigenvalues and eigenvectors are, how to compute them for 2x2 and 3x3 matrices, and why they matter in data science and engineering.
Learn how integrals work, from basic antiderivatives to definite integrals. Covers the power rule for integration, substitution, and the Fundamental Theorem of Calculus.
Learn how to evaluate limits using direct substitution, factoring, rationalisation, and L'Hopital's rule. Covers one-sided limits and limits at infinity.
Understand Taylor and Maclaurin series from scratch. Learn the formula, compute series for common functions, and see how they are used in science and engineering.
Master matrix operations including addition, scalar multiplication, matrix multiplication, determinants, and inverses with step-by-step examples.
A complete guide to fraction arithmetic. Learn how to find common denominators, simplify fractions, and perform all four operations with worked examples.
Learn exponent rules including the product rule, quotient rule, power rule, and negative exponents. Covers scientific notation and real-world applications.
Understand the most important probability distributions: normal, binomial, Poisson, and uniform. Learn when to use each and how to calculate probabilities.
Learn how to convert between metric and imperial units for length, mass, temperature, and more. Includes dimensional analysis and conversion factor tables.