Datrys lambda^2-4999001lambda/100000+0000225=0

$$\lambda ^ { 2 } - \frac { 4999001 \lambda } { 100000 } + 0000225 = 0$$

Datrys ar gyfer λ

$$\lambda =\frac{4999001}{100000}=49.99001$$

$$\lambda =0$$

Camau i Ddefnyddio Ffactorio

Lluoswch ddwy ochr yr hafaliad â 100000.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 225=0$$

Lluosi 0 a 225 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0=0$$

Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

$$100000\lambda ^{2}-4999001\lambda =0$$

Ffactora allan \lambda .

$$\lambda \left(100000\lambda -4999001\right)=0$$

I ddod o hyd i atebion hafaliad, datryswch \lambda =0 a 100000\lambda -4999001=0.

$$\lambda =0 \lambda =\frac{4999001}{100000}$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Lluoswch ddwy ochr yr hafaliad â 100000.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 225=0$$

Lluosi 0 a 225 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0=0$$

Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

$$100000\lambda ^{2}-4999001\lambda =0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch 100000 am a, -4999001 am b, a 0 am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$\lambda =\frac{-\left(-4999001\right)±\sqrt{\left(-4999001\right)^{2}}}{2\times 100000}$$

Cymryd isradd \left(-4999001\right)^{2}.

$$\lambda =\frac{-\left(-4999001\right)±4999001}{2\times 100000}$$

Gwrthwyneb -4999001 yw 4999001.

$$\lambda =\frac{4999001±4999001}{2\times 100000}$$

Lluoswch 2 â 100000.

$$\lambda =\frac{4999001±4999001}{200000}$$

Datryswch yr hafaliad \lambda =\frac{4999001±4999001}{200000} pan fydd ± yn plws. Adio 4999001 at 4999001.

$$\lambda =\frac{9998002}{200000}$$

Lleihau'r ffracsiwn \frac{9998002}{200000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\lambda =\frac{4999001}{100000}$$

Datryswch yr hafaliad \lambda =\frac{4999001±4999001}{200000} pan fydd ± yn minws. Tynnu 4999001 o 4999001.

$$\lambda =\frac{0}{200000}$$

Rhannwch 0 â 200000.

$$\lambda =0$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$\lambda =\frac{4999001}{100000} \lambda =0$$

Camau ar Gyfer Cwblhau'r Sgwâr

Lluoswch ddwy ochr yr hafaliad â 100000.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 0\times 225=0$$

Lluosi 0 a 0 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0\times 225=0$$

Lluosi 0 a 225 i gael 0.

$$100000\lambda ^{2}-4999001\lambda +0=0$$

Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

$$100000\lambda ^{2}-4999001\lambda =0$$

Rhannu’r ddwy ochr â 100000.

$$\frac{100000\lambda ^{2}-4999001\lambda }{100000}=\frac{0}{100000}$$

Mae rhannu â 100000 yn dad-wneud lluosi â 100000.

$$\lambda ^{2}-\frac{4999001}{100000}\lambda =\frac{0}{100000}$$

Rhannwch 0 â 100000.

$$\lambda ^{2}-\frac{4999001}{100000}\lambda =0$$

Rhannwch -\frac{4999001}{100000}, cyfernod y term x, â 2 i gael -\frac{4999001}{200000}. Yna ychwanegwch sgwâr -\frac{4999001}{200000} at ddwy ochr yr hafaliad. Mae'r cam hwn yn gwneud ochr chwith yr hafaliad yn sgwâr perffaith.

$$\lambda ^{2}-\frac{4999001}{100000}\lambda +\left(-\frac{4999001}{200000}\right)^{2}=\left(-\frac{4999001}{200000}\right)^{2}$$

Sgwariwch -\frac{4999001}{200000} drwy sgwario'r rhifiadur ag enwadur y ffracsiwn.

$$\lambda ^{2}-\frac{4999001}{100000}\lambda +\frac{24990010998001}{40000000000}=\frac{24990010998001}{40000000000}$$

Ffactora \lambda ^{2}-\frac{4999001}{100000}\lambda +\frac{24990010998001}{40000000000}. Yn gyffredinol, pan fydd x^{2}+bx+c yn sgwâr perffaith, mae modd ei ffactora bob amser fel \left(x+\frac{b}{2}\right)^{2}.

$$\left(\lambda -\frac{4999001}{200000}\right)^{2}=\frac{24990010998001}{40000000000}$$

Cymrwch isradd dwy ochr yr hafaliad.

$$\sqrt{\left(\lambda -\frac{4999001}{200000}\right)^{2}}=\sqrt{\frac{24990010998001}{40000000000}}$$

Symleiddio.

$$\lambda -\frac{4999001}{200000}=\frac{4999001}{200000} \lambda -\frac{4999001}{200000}=-\frac{4999001}{200000}$$

Adio \frac{4999001}{200000} at ddwy ochr yr hafaliad.

$$\lambda =\frac{4999001}{100000} \lambda =0$$