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

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

Réitigh do λ.

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

$$\lambda =0$$

Céimeanna ag úsáid an fhachtóirithe

Méadaigh an dá thaobh den chothromóid faoi 100000.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 225 chun 0 a fháil.

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

Is ionann rud ar bith móide nialas agus a shuim féin.

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

Fág \lambda as an áireamh.

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

Réitigh \lambda =0 agus 100000\lambda -4999001=0 chun réitigh cothromóide a fháil.

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

Céimeanna ag Baint Úsáid as an bhFoirmle Chearnach

Méadaigh an dá thaobh den chothromóid faoi 100000.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 225 chun 0 a fháil.

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

Is ionann rud ar bith móide nialas agus a shuim féin.

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

Tá an chothromóid seo i bhfoirm chaighdeánach: ax^{2}+bx+c=0. Cuir 100000 in ionad a, -4999001 in ionad b, agus 0 in ionad c san fhoirmle chearnach, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

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

Tóg fréamh chearnach \left(-4999001\right)^{2}.

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

Tá 4999001 urchomhairleach le -4999001.

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

Méadaigh 2 faoi 100000.

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

Réitigh an chothromóid \lambda =\frac{4999001±4999001}{200000} nuair is ionann ± agus plus. Suimigh 4999001 le 4999001?

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

Laghdaigh an codán \frac{9998002}{200000} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

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

Réitigh an chothromóid \lambda =\frac{4999001±4999001}{200000} nuair is ionann ± agus míneas. Dealaigh 4999001 ó 4999001.

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

Roinn 0 faoi 200000.

$$\lambda =0$$

Tá an chothromóid réitithe anois.

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

Céimeanna chun an Chearnóg a Chomhlánú

Méadaigh an dá thaobh den chothromóid faoi 100000.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 0 chun 0 a fháil.

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

Méadaigh 0 agus 225 chun 0 a fháil.

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

Is ionann rud ar bith móide nialas agus a shuim féin.

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

Roinn an dá thaobh faoi 100000.

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

Má roinntear é faoi 100000 cuirtear an iolrúchán faoi 100000 ar ceal.

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

Roinn 0 faoi 100000.

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

Roinn -\frac{4999001}{100000}, comhéifeacht an téarma x, faoi 2 chun -\frac{4999001}{200000} a fháil. Ansin suimigh uimhir chearnach -\frac{4999001}{200000} leis an dá thaobh den chothromóid. Déanann an chéim seo slánchearnóg de thaobh clé na cothromóide.

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

Cearnaigh -\frac{4999001}{200000} trí uimhreoir agus ainmneoir an chodáin a chearnú.

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

Fachtóirigh \lambda ^{2}-\frac{4999001}{100000}\lambda +\frac{24990010998001}{40000000000}. Go ginearálta, nuair x^{2}+bx+c cearnóg fhoirfe é, is féidir é a fhachtóiriú i gcónaí mar \left(x+\frac{b}{2}\right)^{2}.

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

Tóg fréamh chearnach an dá thaobh den chothromóid.

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

Simpligh.

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

Cuir \frac{4999001}{200000} leis an dá thaobh den chothromóid.

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