Datrys 46/60=x^2+11547^2-2x11547cos(36)

$$\frac{ 46 }{ 60 } = { x }^{ 2 } + { 11547 }^{ 2 } -2x11547 \cos ( 36 )$$

Datrys ar gyfer x_11547

$$x_{11547}=\frac{200000000000000x^{2}}{323606797749979}+\frac{79999924940000000000000}{970820393249937}$$

Camau ar gyfer Datrys Hafaliad Llinol

Evaluate trigonometric functions in the problem

$$\frac{46}{60} = {(x)} ^ {2} + {(11547)} ^ {2} - 2 x 11547 \cdot 0.8090169943749475$$

Lleihau'r ffracsiwn \frac{46}{60} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\frac{23}{30}=x^{2}+11547^{2}-2x_{11547}\times 0.8090169943749475$$

Cyfrifo 11547 i bŵer 2 a chael 133333209.

$$\frac{23}{30}=x^{2}[phone]x_{11547}\times 0.8090169943749475$$

Lluosi 2 a 0.8090169943749475 i gael 1.618033988749895.

$$\frac{23}{30}=x^{2}[phone]-1.618033988749895x_{11547}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$x^{2}[phone]-1.618033988749895x_{11547}=\frac{23}{30}$$

Tynnu x^{2} o'r ddwy ochr.

$$133333209-1.618033988749895x_{11547}=\frac{23}{30}-x^{2}$$

Tynnu 133333209 o'r ddwy ochr.

$$-1.618033988749895x_{11547}=\frac{23}{30}-x^{2}-133333209$$

Tynnu 133333209 o \frac{23}{30} i gael -\frac{3999996247}{30}.

$$-1.618033988749895x_{11547}=-\frac{3999996247}{30}-x^{2}$$

Mae'r hafaliad yn y ffurf safonol.

$$-1.618033988749895x_{11547}=-x^{2}-\frac{3999996247}{30}$$

Rhannu dwy ochr hafaliad â -1.618033988749895, sydd yr un peth â lluosi’r ddwy ochr â chilydd y ffracsiwn.

$$\frac{-1.618033988749895x_{11547}}{-1.618033988749895}=\frac{-x^{2}-\frac{3999996247}{30}}{-1.618033988749895}$$

Mae rhannu â -1.618033988749895 yn dad-wneud lluosi â -1.618033988749895.

$$x_{11547}=\frac{-x^{2}-\frac{3999996247}{30}}{-1.618033988749895}$$

Rhannwch -\frac{3999996247}{30}-x^{2} â -1.618033988749895 drwy luosi -\frac{3999996247}{30}-x^{2} â chilydd -1.618033988749895.

$$x_{11547}=\frac{200000000000000x^{2}}{323606797749979}+\frac{79999924940000000000000}{970820393249937}$$

Datrys ar gyfer x

$$x=\frac{\sqrt{5824922359499622x_{11547}-479999549640000000000000}}{60000000}$$

$$x=-\frac{\sqrt{5824922359499622x_{11547}-479999549640000000000000}}{60000000}\text{, }x_{11547}\geq \frac{79999924940000000000000}{970820393249937}$$