Equation Solver — Calculate Equations, Inequalities & Systems

Calculator solves equations: linear, quadratic, cubic, quartic, trigonometric, and hyperbolic. Methods include: substitutions, factoring, algebraic identities, completing the square, term grouping, the rational root theorem, Ferrari's method for quartic equations, tangent half-angle substitution, Binomial theorem, trigonometric and hyperbolic identities, logarithmic properties, basic functional equations, Euler's formula (for complex numbers), and domain restrictions. It also solves systems of equations, as well as inequalities (but only those without parameters or trigonometric functions) using the interval method.

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▾System

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The input recognizes various synonyms for functions such asasin, arsin, arcsin, sin^-1

Multiplication signs and parentheses are automatically added — for example2sinxbecomes2*sin(x)

List of supported functions and constants:

• ln(x) — natural logarithm

• sin(x) — sine

• cos(x) — cosine

• tan(x) — tangent

• cot(x) — cotangent

• arcsin(x) — arcsine

• arccos(x) — arccosine

• arctan(x) — arctangent

• arccot(x) — arccotangent

• sinh(x) — hyperbolic sine

• cosh(x) — hyperbolic cosine

• tanh(x) — hyperbolic tangent

• coth(x) — hyperbolic cotangent

• sech(x) — hyperbolic secant

• csch(x) — hyperbolic cosecant

• arsinh(x) — inverse hyperbolic sine

• arcosh(x) — inverse hyperbolic cosine

• artanh(x) — inverse hyperbolic tangent

• arcoth(x) — inverse hyperbolic cotangent

• sec(x) — secant

• csc(x) — cosecant

• arcsec(x) — arcsecant

• arccsc(x) — arccosecant

• arsech(x) — inverse hyperbolic secant

• arcsch(x) — inverse hyperbolic cosecant

• |x|, abs(x) — absolute value

• sqrt(x), root(x) — square root

• exp(x) — \(e^x\)

• conj(z) — \(\overline{z}\)

• a+b — \(a+b\)

• a-b — \(a-b\)

• a*b — \(a\cdot b\)

• a/b — \(\dfrac{a}{b}\)

• a^b, a**b — \(a^b\)

• sqrt7(x) — \(\sqrt[7]{x}\)

• sqrt(n,x) — \(\sqrt[n]{x}\)

• lg(x) — \(\log_{10}\left(x\right)\)

• log3(x) — \(\log_3\left(x\right)\)

• log(a,x) — \(\log_a\left(x\right)\)

• ln^2(x), ln(x)^2 — \(\ln^2\left(x\right)\)

• y''', y'3 — \(y'''\)

• d^2y/dx^2, d2y/dx2 — \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}\)

• lambda — \(\lambda\)

• pi — \(\pi\)

alpha — \(\alpha\)

beta — \(\beta\)

• sigma — \(\sigma\)

gamma — \(\gamma\)

nu — \(\nu\)

• mu — \(\mu\)

phi — \(\phi\)

psi — \(\psi\)

• tau — \(\tau\)

eta — \(\eta\)

rho — \(\rho\)

• a123 — \(a_{123}\)

x_n — \(x_{n}\)

mu11 — \(\mu_{11}\)

• <= — \(\leq\)

>= — \(\geq\)

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