Ukubala ama-Equation (EQN)
Ungasebenzisa inqubo elandelayo Kumodi ye-EQN ukuxazulula izibalo zelayini ngezibalo ezimbili noma ezintathu ezingaziwa, izibalo ze-quadratic, nezibalo ze-cubic.
1. Cindezela 
(EQN) ukufaka Imodi ye-EQN.
2. Kumenyu evelayo, khetha uhlobo lwesibalo.
| Ukukhetha uhlobo lwesibalo: | Cindezela lo khiye: |
|---|---|
| Izibalo zelayini ezikanyekanye ezinokungaziwa okubili | (anX + bnY = cn) |
| Izibalo zelayini ezikanyekanye ezinokuthathu okungaziwa | (anX + bnY + cnZ = dn) |
| Izibalo ze-quadratic | (aX2 + bX + c = 0) |
| Izibalo ze-cubic | (aX3 + bX2 + cX + d = 0) |
3. Sebenzisa i-kuKho-efishiyenti Editha evelayo ukufaka izimeleli ze-coefficient.
Ukuxazulula u-2x2 + x - 3 = 0, ngokwesibonelo, cindezela u-
esinyathelweni 2, bese ufaka ama-coefficient alandelayo (a = 2, b = 1, c = -3): 2
1
3
.
Ukuze ushintshe inani elifanelekile osunakho ukufaka, hambisa isikhombisi kuseli elifanele, ufake inani elisha, bese ucindezela u-
.
Ukucindezela u-
kuzosula wonke ama-coefficients abe yi-zero.
Kubalulekile!
Imisebenzi elandelayo ayisekelwa yiKho-efishiyenti Editha:
, 
(M-), 
(STO). I-Pol, i-Rec, ÷ R, kanye nezitatimende ezixubile nazo azikwazi ukufakwa kuKho-efishiyenti Editha.
4. Ngemuva kokuthi onke amanani ayindlela ofuna ngayo, cindezela u-
.
Lokhu kuzobonisa isisombululo. Ukucindezela kwe-
ngakunye kuzobonisa esinye isisombululo. Ukucindezela
kuyilapho isisombululo sokugcina siboniswe kuzophindela kuKho-efishiyenti Editha.
Ungaskrola phakathi nezisombululo usebenzisa lo khiye
kanye nalo-
.
Ukuphindela kuKho-efishiyenti Editha kuyilapho kuboniswe noma yisiphi isisombululo, cindezela
.
Phawula
Nakuba Isibonisi Semvelo sikhethiwe, izisombululo zezibalo zelayini ezikanyekanye azibonisiwe kusetshenziswa noma yiliphi ifomu elihilela-√ .
Amanani ngeke aguqulelwe ku-engineering notation esikrinini sesisombululo.
Umayelezo ovelayo wokukwazisa uma kungenasisombululo noma uma kunezisombululo ezingenamkhawulo. Ukucindezela i-
noma i-
kuzophindela kuKho-efishiyenti Editha.
Ukushintsha Isethingi Lohlobo Lwesibalo Samanje
Cindezela 
(EQN) bese ukhetha uhlobo lwesibalo kusuka kumenyu evelayo. Ukushintsha uhlobo lwesibalo kubangela izimeleli zawo wonke ama-coefficient weKho-efishiyenti Editha ukushintshela eqandeni.
Izibonelo Zesibalo Semodi ye-EQN
Isibonelo 1: x + 2y = 3, 2x + 3y = 4

(EQN)
(anX + bnY = cn)
1
2
3
2
3
4


- (X=) -1

- (Y=) 2
Isibonelo 2: x - y + z = 2, x + y - z = 0, -x + y + z = 4

(EQN)
(anX + bnY + cnZ = dn)
1
1
1
2
1
1
1
0
1
1
1
4


- (X=) 1

- (Y=) 2

- (Z=) 3
Isibonelo 3: 2x2 - 3x - 6 = 0 (MthIO-MathO)

(EQN)
(aX2 + bX + c = 0)
2
3
6

- (X1=) 3 + √574

- (X2=) 3 - √574

- (X-Value Minimum=)* 34

- (Y-Value Minimum=)* - 578
- * Ubuncane bendawo yenani elibonisiwe uma u-a > 0. Ubukhulu bendawo yenani elibonisiwe uma u-a < 0.
Isibonelo 4: x2 - 2√2x + 2 = 0 (MthIO-MathO)

(EQN)
(aX2 + bX + c = 0)
1
2
2
2

- (X=) √2
Isibonelo 5: x3 - 2x2 - x + 2 = 0

(EQN)
(aX3 + bX2 + cX + d = 0)
1
2
1
2

- (X1=) -1

- (X2=) 2

- (X3=) 1


