How to use it
- Type the equation with one = sign, for example 2e^(-x) = 3 or x^3 = 2x + 1. Use ^ for powers, sqrt() for roots, ln() and log() for logs.
- Change the search range if you expect answers outside −100 to 100.
- Read each solution and the check, which substitutes it back into both sides.
How it works
The solver moves everything to one side, f(x) = left − right = 0, scans the range for places where f(x) changes sign, then narrows each one down by bisection until it is accurate to about 10 significant figures.
Example: 2e^(-x) = 3
Divide by 2: e^(−x) = 1.5. Take the natural log: −x = ln 1.5, so x = −ln 1.5 ≈ −0.4055. The solver finds the same value numerically and shows that both sides equal 3.
Tips
Write multiplication clearly: 2x, 2*x and 2(x+1) all work. Trig functions use radians, so for degrees write sin(x*pi/180). For quadratics, the Quadratic Equation Solver also gives exact and complex roots.
Frequently asked questions
Can it solve equations with no algebraic method?
Yes. Equations like x = cos(x) have no neat formula, but the solver still finds x ≈ 0.7391.
Why does it say no real solution?
Either there is none, like x² + 1 = 0, or the answer lies outside the search range. Try a wider range.
Does it find complex solutions?
No, it finds real solutions only. For complex roots of a quadratic, use the Quadratic Equation Solver.