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

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

Ebatzi: X

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

Ekuazio lineala ebazteko urratsak

Evaluate trigonometric functions in the problem

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

Zatitu x-4 ekuazioko gai bakoitza 0.7265425280053608 balioarekin, \frac{x}{0.7265425280053608}+\frac{-4}{0.7265425280053608} lortzeko.

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

Hedatu \frac{-4}{0.7265425280053608} zenbakitzailea eta izendatzailea 10000000000000000 balioarekin biderkatuta.

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

Murriztu \frac{-40000000000000000}{7265425280053608} zatikia gai txikienera, 8 bakanduta eta ezeztatuta.

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

\frac{x}{0.7265425280053608}-\frac{5000000000000000}{908178160006701} funtzioaren aurkakoa aurkitzeko, bilatu gai bakoitzaren aurkakoa.

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

Gehitu \frac{x}{0.7265425280053608} bi aldeetan.

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

Kendu \frac{5000000000000000}{908178160006701} bi aldeetatik.

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

\frac{49470609120549482}{4540890800033505} lortzeko, 16.4 balioari kendu \frac{5000000000000000}{908178160006701}.

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

Modu arruntean dago ekuazioa.

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

Zatitu ekuazioaren bi aldeak \sqrt{3} balioarekin.

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

\sqrt{3} balioarekin zatituz gero, \sqrt{3} balioarekiko biderketa desegiten da.

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

Zatitu \frac{49470609120549482}{4540890800033505}+\frac{1250000000000000x}{908178160006701} balioa \sqrt{3} balioarekin.

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

Ebatzi: x

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