Datrys left(1.05^4+1.05^3+1.05^2+1.05+1.05^5right)x=5

$$\left( { 1.05 }^{ 4 } + { 1.05 }^{ 3 } + { 1.05 }^{ 2 } +1.05+ { 1.05 }^{ 5 } \right) x = 5$$

Datrys ar gyfer x

$$x=\frac{16000000}{18566121}\approx 0.861784753$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfrifo 1.05 i bŵer 4 a chael 1.21550625.

$$\left(1.21550625+1.05^{3}+1.05^{2}+1.05+1.05^{5}\right)x=5$$

Cyfrifo 1.05 i bŵer 3 a chael 1.157625.

$$\left(1.21550625+1.157625+1.05^{2}+1.05+1.05^{5}\right)x=5$$

Adio 1.21550625 a 1.157625 i gael 2.37313125.

$$\left(2.37313125+1.05^{2}+1.05+1.05^{5}\right)x=5$$

Cyfrifo 1.05 i bŵer 2 a chael 1.1025.

$$\left(2.37313125+1.1025+1.05+1.05^{5}\right)x=5$$

Adio 2.37313125 a 1.1025 i gael 3.47563125.

$$\left(3.47563125+1.05+1.05^{5}\right)x=5$$

Adio 3.47563125 a 1.05 i gael 4.52563125.

$$\left(4.52563125+1.05^{5}\right)x=5$$

Cyfrifo 1.05 i bŵer 5 a chael 1.2762815625.

$$\left(4.52563125+1.2762815625\right)x=5$$

Adio 4.52563125 a 1.2762815625 i gael 5.8019128125.

$$5.8019128125x=5$$

Rhannu’r ddwy ochr â 5.8019128125.

$$x=\frac{5}{5.8019128125}$$

Ehangu \frac{5}{5.8019128125} drwy luosi'r rhifiadur a'r enwadur gyda 10000000000.

$$x=\frac{50000000000}{58019128125}$$

Lleihau'r ffracsiwn \frac{50000000000}{58019128125} i'r graddau lleiaf posib drwy dynnu a chanslo allan 3125.

$$x=\frac{16000000}{18566121}$$