Numerical Solutions to Equations

Scientific Notebook supports both exact and numerical methods for solving equations, as illustrated in the following three examples.

$\blacktriangleright$ Solve + Exact

5x3 -5x2 = x, Solution is: $\left\{\vphantom{ x=0}\right.$x = 0$\left.\vphantom{ x=0}\right\}$,$\left\{\vphantom{ x=% \frac{1}{2}+\frac{3}{10}\sqrt{5}}\right.$x = ${\frac{{1}}{{2}}}$ + ${\frac{{3}}{{10}}}$$\sqrt{{5}}$$\left.\vphantom{ x=% \frac{1}{2}+\frac{3}{10}\sqrt{5}}\right\}$,$\left\{\vphantom{ x=\frac{1}{2}-% \frac{3}{10}\sqrt{5}}\right.$x = ${\frac{{1}}{{2}}}$ - ${\frac{{3}}{{10}}}$$\sqrt{{5}}$$\left.\vphantom{ x=\frac{1}{2}-% \frac{3}{10}\sqrt{5}}\right\}$

$\blacktriangleright$ Solve + Exact

5.0x3 -5.0x2 = x, Solution is: $\left\{\vphantom{ x=0}\right.$x = 0$\left.\vphantom{ x=0}\right\}$,$\left\{\vphantom{ x=1.170820393}\right.$x = 1.170820393$\left.\vphantom{ x=1.170820393}\right\}$,$\left\{\vphantom{ x=-.1708203932}\right.$x = - .1708203932$\left.\vphantom{ x=-.1708203932}\right\}$

$\blacktriangleright$ Solve + Numeric

5x3 -5x2 = x, Solution is: $\left\{\vphantom{ x=0}\right.$x = 0$\left.\vphantom{ x=0}\right\}$,$\left\{\vphantom{ x=-.1708203932}\right.$x = - .1708203932$\left.\vphantom{ x=-.1708203932}\right\}$,$\left\{\vphantom{ x=1.170820393}\right.$x = 1.170820393$\left.\vphantom{ x=1.170820393}\right\}$


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