Whakaoti i te 2837=x/106+x/106^2+x/106^3+x/1064

$$2837 = \frac { x } { 106 } + \frac { x } { 106 ^ { 2 } } + \frac { x } { 106 ^ { 3 } } + \frac { x } { 1064 }$$

Whakaoti mō x

$$x = \frac{56174418517}{207187} = 271129\frac{14394}{207187} \approx 271129.069473471$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 56392, arā, te tauraro pātahi he tino iti rawa te kitea o 106,1064.

$$159984104=532x+\frac{266}{53}x+\frac{133}{2809}x+53x$$

Pahekotia te 532x me \frac{266}{53}x, ka \frac{28462}{53}x.

$$159984104=\frac{28462}{53}x+\frac{133}{2809}x+53x$$

Pahekotia te \frac{28462}{53}x me \frac{133}{2809}x, ka \frac{1508619}{2809}x.

$$159984104=\frac{1508619}{2809}x+53x$$

Pahekotia te \frac{1508619}{2809}x me 53x, ka \frac{1657496}{2809}x.

$$159984104=\frac{1657496}{2809}x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{1657496}{2809}x=159984104$$

Me whakarea ngā taha e rua ki te \frac{2809}{1657496}, te tau utu o \frac{1657496}{2809}.

$$x=159984104\times \frac{2809}{1657496}$$

Tuhia te 159984104\times \frac{2809}{1657496} hei hautanga kotahi.

$$x=\frac{159984104\times 2809}{1657496}$$

Whakareatia te 159984104 ki te 2809, ka 449395348136.

$$x=\frac{449395348136}{1657496}$$

Whakahekea te hautanga \frac{449395348136}{1657496} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$x=\frac{56174418517}{207187}$$