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Equation Solver

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The calculator will try to find the roots (exact and numerical, real and complex), i.e. solve for xx, yy or any other variable, of any equation (linear, quadratic, polynomial, rational, irrational, exponential, logarithmic, trigonometric, hyperbolic, absolute value) on the given interval.

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Solve the equation (x2−3x−2)sin⁡(x)=0\left(x^{2} - 3 x - 2\right) \sin{\left(x \right)} = 0 for xx.

Answer

Real roots

x=32−172≈−0.56155281280883x = \frac{3}{2} - \frac{\sqrt{17}}{2}\approx -0.56155281280883A

x=3+172≈3.56155281280883x = \frac{3 + \sqrt{17}}{2}\approx 3.56155281280883A

x∈{nπ  |  n∈Z}≈{3.141592653589793n  |  n∈Z}x\in\left\{n \pi\; \middle|\; n \in \mathbb{Z}\right\}\approx \left\{3.141592653589793 n\; \middle|\; n \in \mathbb{Z}\right\}

Complex roots

It seems that there are no complex roots.