Example A-10.1

Calculate the roots of the equation $3 x^2-8 x\+5\=0$.

Example A-10.2

Solve the equation $p\left(x\right)\=0$, where $p\left(x\right)$ is the cubic polynomial $x^3-9x^2-2 x\+15$.

Example A-10.3

Solve the three equations $x^2\+{\left(y-k\right)}^2\=1\,y\=x^2\,2 x\=-\frac{x}{y-k}$ for $x\,y\,k$.

Example A-10.4

If$f\left(x\right)\=x^7\+3x^4\+2 x-1$, solve the equation $f\left(x\right)\=0$.

Example A-10.5

Determine all real solutions of the equation $\cos \left(x\right)\=x\/4$.