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

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

Solvi għal x_11547

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

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

Naqqas il-frazzjoni \frac{46}{60} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

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

Ikkalkula 11547 bil-power ta' 2 u tikseb 133333209.

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

Immultiplika 2 u 0.8090169943749475 biex tikseb 1.618033988749895.

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

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

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

Naqqas x^{2} miż-żewġ naħat.

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

Naqqas 133333209 miż-żewġ naħat.

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

Naqqas 133333209 minn \frac{23}{30} biex tikseb -\frac{3999996247}{30}.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi ż-żewġ naħat tal-ekwazzjoni b'-1.618033988749895, li hija l-istess bħal multiplikazzjoni taż-żewġ naħat bir-reċiproku tal-frazzjoni.

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

Meta tiddividi b'-1.618033988749895 titneħħa l-multiplikazzjoni b'-1.618033988749895.

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

Iddividi -\frac{3999996247}{30}-x^{2} b'-1.618033988749895 billi timmultiplika -\frac{3999996247}{30}-x^{2} bir-reċiproku ta' -1.618033988749895.

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

Solvi għal x

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

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