Réitigh z^2-25*10^-12+16*10^-12=0

$${ z }^{ 2 } -25 \times { 10 }^{ -12 } +16 \times { 10 }^{ -12 } = 0$$

Réitigh do z.

$$z=\frac{3}{1000000}=0.000003$$

$$z=-\frac{3}{1000000}=-0.000003$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Ríomh cumhacht 10 de -12 agus faigh \frac{1}{1000000000000}.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

Méadaigh 25 agus \frac{1}{1000000000000} chun \frac{1}{40000000000} a fháil.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

Ríomh cumhacht 10 de -12 agus faigh \frac{1}{1000000000000}.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

Méadaigh 16 agus \frac{1}{1000000000000} chun \frac{1}{62500000000} a fháil.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

Suimigh -\frac{1}{40000000000} agus \frac{1}{62500000000} chun -\frac{9}{1000000000000} a fháil.

$$z^{2}-\frac{9}{1000000000000}=0$$

Cuir \frac{9}{1000000000000} leis an dá thaobh. Is ionann rud ar bith móide nialas agus a shuim féin.

$$z^{2}=\frac{9}{1000000000000}$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$

Céimeanna ag Baint Úsáid as an bhFoirmle Chearnach

Ríomh cumhacht 10 de -12 agus faigh \frac{1}{1000000000000}.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

Méadaigh 25 agus \frac{1}{1000000000000} chun \frac{1}{40000000000} a fháil.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

Ríomh cumhacht 10 de -12 agus faigh \frac{1}{1000000000000}.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

Méadaigh 16 agus \frac{1}{1000000000000} chun \frac{1}{62500000000} a fháil.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

Suimigh -\frac{1}{40000000000} agus \frac{1}{62500000000} chun -\frac{9}{1000000000000} a fháil.

$$z^{2}-\frac{9}{1000000000000}=0$$

Tá an chothromóid seo i bhfoirm chaighdeánach: ax^{2}+bx+c=0. Cuir 1 in ionad a, 0 in ionad b, agus -\frac{9}{1000000000000} in ionad c san fhoirmle chearnach, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$z=\frac{0±\sqrt{0^{2}-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

Cearnóg 0.

$$z=\frac{0±\sqrt{-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

Méadaigh -4 faoi -\frac{9}{1000000000000}.

$$z=\frac{0±\sqrt{\frac{9}{250000000000}}}{2}$$

Tóg fréamh chearnach \frac{9}{250000000000}.

$$z=\frac{0±\frac{3}{500000}}{2}$$

Réitigh an chothromóid z=\frac{0±\frac{3}{500000}}{2} nuair is ionann ± agus plus.

$$z=\frac{3}{1000000}$$

Réitigh an chothromóid z=\frac{0±\frac{3}{500000}}{2} nuair is ionann ± agus míneas.

$$z=-\frac{3}{1000000}$$

Tá an chothromóid réitithe anois.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$