Datrys sqrt{3}X-x-4/tan36^circ=16.4

$$\sqrt { 3 } X - \frac { x - 4 } { \tan 36 ^ { \circ } } = 16.4$$

Datrys ar gyfer X

$$X=\frac{2\sqrt{3}\left(3125000000000000x+24735304560274741\right)}{13622672400100515}$$

Camau ar gyfer Datrys Hafaliad Llinol

Evaluate trigonometric functions in the problem

$$\sqrt{3} X - \frac{x - 4}{0.7265425280053608} = 16.4$$

Rhannu pob term x-4 â 0.7265425280053608 i gael \frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}.

$$\sqrt{3}X-\left(\frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608}\right)=16.4$$

Ehangu \frac{-4}{0.7265425280053608} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000000000.

$$\sqrt{3}X-\left(\frac{x}{0.7265425280053608}+\frac{-40000000000000000}{7265425280053608}\right)=16.4$$

Lleihau'r ffracsiwn \frac{-40000000000000000}{7265425280053608} i'r graddau lleiaf posib drwy dynnu a chanslo allan 8.

$$\sqrt{3}X-\left(\frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}\right)=16.4$$

I ddod o hyd i wrthwyneb \frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}, dewch o hyd i wrthwyneb pob term.

$$\sqrt{3}X-\frac{x}{0.7265425280053608}+\frac{5000000000000000}{908178160006701}=16.4$$

Ychwanegu \frac{x}{0.7265425280053608} at y ddwy ochr.

$$\sqrt{3}X+\frac{5000000000000000}{908178160006701}=16.4+\frac{x}{0.7265425280053608}$$

Tynnu \frac{5000000000000000}{908178160006701} o'r ddwy ochr.

$$\sqrt{3}X=16.4+\frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701}$$

Tynnu \frac{5000000000000000}{908178160006701} o 16.4 i gael \frac{49470609120549482}{4540890800033505}.

$$\sqrt{3}X=\frac{49470609120549482}{4540890800033505}+\frac{x}{0.7265425280053608}$$

Mae'r hafaliad yn y ffurf safonol.

$$\sqrt{3}X=\frac{1250000000000000x}{908178160006701}+\frac{49470609120549482}{4540890800033505}$$

Rhannu’r ddwy ochr â \sqrt{3}.

$$\frac{\sqrt{3}X}{\sqrt{3}}=\frac{\frac{1250000000000000x}{908178160006701}+\frac{49470609120549482}{4540890800033505}}{\sqrt{3}}$$

Mae rhannu â \sqrt{3} yn dad-wneud lluosi â \sqrt{3}.

$$X=\frac{\frac{1250000000000000x}{908178160006701}+\frac{49470609120549482}{4540890800033505}}{\sqrt{3}}$$

Rhannwch \frac{49470609120549482}{4540890800033505}+\frac{1250000000000000x}{908178160006701} â \sqrt{3}.

$$X=\frac{2\sqrt{3}\left(3125000000000000x+24735304560274741\right)}{13622672400100515}$$

Datrys ar gyfer x

$$x=\frac{908178160006701\sqrt{3}X}{1250000000000000}-7.91529745928791712$$