Solve f(x)=tan(pi/2(44,7-32,5))+65

$$f ( x ) = \tan ( \frac { \pi } { 2 } ( 44,7 - 32,5 ) ) + 65$$

Solve for f

$$f=\frac{5^{0,75}\left(\sqrt{10\left(\sqrt{5}-1\right)}-\sqrt{2\left(\sqrt{5}-1\right)}+260\sqrt[4]{5}\right)}{20x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 32,5 from 44,7 to get 12,2.

$$fx=\tan(\frac{\pi }{2}\times 12,2)+65$$

The equation is in standard form.

$$xf=\tan(\frac{61\pi }{10})+65$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{\frac{\sqrt[4]{5}\sqrt{2\sqrt{5}-2}}{4}-\frac{\sqrt{2\sqrt{5}-2}}{4\sqrt[4]{5}}+65}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{\frac{\sqrt[4]{5}\sqrt{2\sqrt{5}-2}}{4}-\frac{\sqrt{2\sqrt{5}-2}}{4\sqrt[4]{5}}+65}{x}$$

Divide 65-\frac{\sqrt{2\sqrt{5}-2}}{4\sqrt[4]{5}}+\frac{\sqrt[4]{5}\sqrt{2\sqrt{5}-2}}{4} by x.

$$f=\frac{\sqrt{10\sqrt{5}-10}-\sqrt{2\sqrt{5}-2}+260\sqrt[4]{5}}{4\sqrt[4]{5}x}$$

Solve for x

$$x=\frac{5^{0,75}\left(\sqrt{10\left(\sqrt{5}-1\right)}-\sqrt{2\left(\sqrt{5}-1\right)}+260\sqrt[4]{5}\right)}{20f}$$

$$f\neq 0$$

Steps for Solving Linear Equation

Subtract 32,5 from 44,7 to get 12,2.

$$fx=\tan(\frac{\pi }{2}\times 12,2)+65$$

The equation is in standard form.

$$fx=\tan(\frac{61\pi }{10})+65$$

Divide both sides by f.

$$\frac{fx}{f}=\frac{\frac{\sqrt[4]{5}\sqrt{2\sqrt{5}-2}}{4}-\frac{\sqrt{2\sqrt{5}-2}}{4\sqrt[4]{5}}+65}{f}$$

Dividing by f undoes the multiplication by f.

$$x=\frac{\frac{\sqrt[4]{5}\sqrt{2\sqrt{5}-2}}{4}-\frac{\sqrt{2\sqrt{5}-2}}{4\sqrt[4]{5}}+65}{f}$$

Divide 65-\frac{\sqrt{2\sqrt{5}-2}}{4\sqrt[4]{5}}+\frac{\sqrt[4]{5}\sqrt{2\sqrt{5}-2}}{4} by f.

$$x=\frac{\sqrt{10\sqrt{5}-10}-\sqrt{2\sqrt{5}-2}+260\sqrt[4]{5}}{4\sqrt[4]{5}f}$$