Datrys a{left(1+22/12right)}^4=a+14667

$$a { \left(1+ \frac{ 22 }{ 12 } \right) }^{ 4 } = a+14667$$

Datrys ar gyfer a

$$a = \frac{19008432}{82225} = 231\frac{14457}{82225} \approx 231.175822438$$

Camau ar gyfer Datrys Hafaliad Llinol

Lleihau'r ffracsiwn \frac{22}{12} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$a\left(1+\frac{11}{6}\right)^{4}=a+14667$$

Adio 1 a \frac{11}{6} i gael \frac{17}{6}.

$$a\times \left(\frac{17}{6}\right)^{4}=a+14667$$

Cyfrifo \frac{17}{6} i bŵer 4 a chael \frac{83521}{1296}.

$$a\times \frac{83521}{1296}=a+14667$$

Tynnu a o'r ddwy ochr.

$$a\times \frac{83521}{1296}-a=14667$$

Cyfuno a\times \frac{83521}{1296} a -a i gael \frac{82225}{1296}a.

$$\frac{82225}{1296}a=14667$$

Lluoswch y ddwy ochr â \frac{1296}{82225}, cilyddol \frac{82225}{1296}.

$$a=14667\times \frac{1296}{82225}$$

Lluosi 14667 a \frac{1296}{82225} i gael \frac{19008432}{82225}.

$$a=\frac{19008432}{82225}$$