Réitigh 250v^2=241960

$$250 v ^ { 2 } = 241960$$

Réitigh do v.

$$v = \frac{2 \sqrt{6049}}{5} \approx 31.110126969$$

$$v = -\frac{2 \sqrt{6049}}{5} \approx -31.110126969$$

Céimeanna tríd an bhFréamh Chearnach a Fháil

Roinn an dá thaobh faoi 250.

$$v^{2}=\frac{241960}{250}$$

Laghdaigh an codán \frac{241960}{250} chuig na téarmaí is ísle trí 10 a bhaint agus a chealú.

$$v^{2}=\frac{24196}{25}$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$v=\frac{2\sqrt{6049}}{5} v=-\frac{2\sqrt{6049}}{5}$$

Céimeanna ag Baint Úsáid as an bhFoirmle Chearnach

Roinn an dá thaobh faoi 250.

$$v^{2}=\frac{241960}{250}$$

Laghdaigh an codán \frac{241960}{250} chuig na téarmaí is ísle trí 10 a bhaint agus a chealú.

$$v^{2}=\frac{24196}{25}$$

Bain \frac{24196}{25} ón dá thaobh.

$$v^{2}-\frac{24196}{25}=0$$

Tá an chothromóid seo i bhfoirm chaighdeánach: ax^{2}+bx+c=0. Cuir 1 in ionad a, 0 in ionad b, agus -\frac{24196}{25} in ionad c san fhoirmle chearnach, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$v=\frac{0±\sqrt{0^{2}-4\left(-\frac{24196}{25}\right)}}{2}$$

Cearnóg 0.

$$v=\frac{0±\sqrt{-4\left(-\frac{24196}{25}\right)}}{2}$$

Méadaigh -4 faoi -\frac{24196}{25}.

$$v=\frac{0±\sqrt{\frac{96784}{25}}}{2}$$

Tóg fréamh chearnach \frac{96784}{25}.

$$v=\frac{0±\frac{4\sqrt{6049}}{5}}{2}$$

Réitigh an chothromóid v=\frac{0±\frac{4\sqrt{6049}}{5}}{2} nuair is ionann ± agus plus.

$$v=\frac{2\sqrt{6049}}{5}$$

Réitigh an chothromóid v=\frac{0±\frac{4\sqrt{6049}}{5}}{2} nuair is ionann ± agus míneas.

$$v=-\frac{2\sqrt{6049}}{5}$$

Tá an chothromóid réitithe anois.

$$v=\frac{2\sqrt{6049}}{5} v=-\frac{2\sqrt{6049}}{5}$$