 radical - Maple Help Calling Sequence solve(eqns, vars) Parameters

 eqns - equations (as for solve), but with radicals vars - variables (as for solve) Description

 • The solve function will solve equations with radicals by using new auxiliary variables and adding new equations.
 • In some cases the resulting problem will be a system of equations, but in many simple cases radical equations will be handled with transformations and post-processing. For example, the equation ${x}^{2}+\sqrt{x+1}=3$ is transformed into ${z}^{4}-2{z}^{2}+z=2$ using the substitution $x={z}^{2}-1$. Examples

 > $\mathrm{solve}\left(\sqrt{x+1}-\sqrt{x-1}=a,x\right)$
 $\frac{{{a}}^{{4}}{+}{4}}{{4}{}{{a}}^{{2}}}$ (1)
 > $\mathrm{solve}\left(x+\sqrt{x}-2,x\right)$
 ${1}$ (2)
 > $\mathrm{solve}\left(x+\sqrt{x}+{x}^{\frac{1}{3}}=3,x\right)$
 ${1}$ (3)
 > $\mathrm{solve}\left(\sqrt{x}+\sqrt{x+1}=3\right)$
 $\frac{{16}}{{9}}$ (4)
 > $\mathrm{solve}\left(\left\{\sqrt{x}+\sqrt{y}-2,x-y+1\right\},\left\{x,y\right\}\right)$
 $\left\{{x}{=}\frac{{9}}{{16}}{,}{y}{=}\frac{{25}}{{16}}\right\}$ (5)