Datrys 5000/x=1.08^10-1/0.08

$$\frac { 5000 } { x } = \frac { 1.08 ^ { 10 } - 1 } { 0.08 }$$

Datrys ar gyfer x

$$x = \frac{4768371582031250}{13815462556753} = 345\frac{2036999951465}{13815462556753} \approx 345.147443485$$

Camau ar gyfer Datrys Hafaliad Llinol

All y newidyn x ddim fod yn hafal i 0 gan nad ydy rhannu â sero wedi’i ddiffinio. Lluoswch ddwy ochr yr hafaliad â x.

$$5000=x\times \frac{1.08^{10}-1}{0.08}$$

Cyfrifo 1.08 i bŵer 10 a chael 2.15892499727278669824.

$$5000=x\times \frac{2.15892499727278669824-1}{0.08}$$

Tynnu 1 o 2.15892499727278669824 i gael 1.15892499727278669824.

$$5000=x\times \frac{1.15892499727278669824}{0.08}$$

Ehangu \frac{1.15892499727278669824}{0.08} drwy luosi'r rhifiadur a'r enwadur gyda 100000000000000000000.

$$5000=x\times \frac{115892499727278669824}{8000000000000000000}$$

Lleihau'r ffracsiwn \frac{115892499727278669824}{8000000000000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2097152.

$$5000=x\times \frac{55261850227012}{3814697265625}$$

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

$$x\times \frac{55261850227012}{3814697265625}=5000$$

Lluoswch y ddwy ochr â \frac{3814697265625}{55261850227012}, cilyddol \frac{55261850227012}{3814697265625}.

$$x=5000\times \frac{3814697265625}{55261850227012}$$

Mynegwch 5000\times \frac{3814697265625}{55261850227012} fel ffracsiwn unigol.

$$x=\frac{5000\times 3814697265625}{55261850227012}$$

Lluosi 5000 a 3814697265625 i gael 19073486328125000.

$$x=\frac{19073486328125000}{55261850227012}$$

Lleihau'r ffracsiwn \frac{19073486328125000}{55261850227012} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$x=\frac{4768371582031250}{13815462556753}$$