Réitigh 18x=0x+36sqrt{1-x^2}

$$18 x = 0 x + 36 \sqrt { 1 - x ^ { 2 } }$$

Réitigh do x.

$$x=\frac{2\sqrt{5}}{5}\approx 0.894427191$$

Céimeanna Réitigh

Bain 0 ón dá thaobh den chothromóid.

$$18x=36\sqrt{1-x^{2}}$$

Is ionann rud ar bith méadaithe faoi nialas agus nialas.

$$18x+0=36\sqrt{1-x^{2}}$$

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

$$18x=36\sqrt{1-x^{2}}$$

Cearnaigh an dá thaobh den chothromóid.

$$\left(18x\right)^{2}=\left(36\sqrt{1-x^{2}}\right)^{2}$$

Fairsingigh \left(18x\right)^{2}

$$18^{2}x^{2}=\left(36\sqrt{1-x^{2}}\right)^{2}$$

Ríomh cumhacht 18 de 2 agus faigh 324.

$$324x^{2}=\left(36\sqrt{1-x^{2}}\right)^{2}$$

Fairsingigh \left(36\sqrt{1-x^{2}}\right)^{2}

$$324x^{2}=36^{2}\left(\sqrt{1-x^{2}}\right)^{2}$$

Ríomh cumhacht 36 de 2 agus faigh 1296.

$$324x^{2}=1296\left(\sqrt{1-x^{2}}\right)^{2}$$

Ríomh cumhacht \sqrt{1-x^{2}} de 2 agus faigh 1-x^{2}.

$$324x^{2}=1296\left(1-x^{2}\right)$$

Úsáid an t-airí dáileach chun 1296 a mhéadú faoi 1-x^{2}.

$$324x^{2}=1296-1296x^{2}$$

Cuir 1296x^{2} leis an dá thaobh.

$$324x^{2}+1296x^{2}=1296$$

Comhcheangail 324x^{2} agus 1296x^{2} chun 1620x^{2} a fháil.

$$1620x^{2}=1296$$

Roinn an dá thaobh faoi 1620.

$$x^{2}=\frac{1296}{1620}$$

Laghdaigh an codán \frac{1296}{1620} chuig na téarmaí is ísle trí 324 a bhaint agus a chealú.

$$x^{2}=\frac{4}{5}$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$x=\frac{2\sqrt{5}}{5} x=-\frac{2\sqrt{5}}{5}$$

Cuir \frac{2\sqrt{5}}{5} in ionad x sa chothromóid 18x=0x+36\sqrt{1-x^{2}}.

$$18\times \frac{2\sqrt{5}}{5}=0\times \frac{2\sqrt{5}}{5}+36\sqrt{1-\left(\frac{2\sqrt{5}}{5}\right)^{2}}$$

Simpligh. An luach x=\frac{2\sqrt{5}}{5} shásaíonn an gcothromóid.

$$\frac{36}{5}\times 5^{\frac{1}{2}}=\frac{36}{5}\times 5^{\frac{1}{2}}$$

Cuir -\frac{2\sqrt{5}}{5} in ionad x sa chothromóid 18x=0x+36\sqrt{1-x^{2}}.

$$18\left(-\frac{2\sqrt{5}}{5}\right)=0\left(-\frac{2\sqrt{5}}{5}\right)+36\sqrt{1-\left(-\frac{2\sqrt{5}}{5}\right)^{2}}$$

Simpligh. Níl an chothromóid comhlíonann luach x=-\frac{2\sqrt{5}}{5} toisc nach bhfuil ag an taobh clé agus an taobh deas comharthaí os a chomhair.

$$-\frac{36}{5}\times 5^{\frac{1}{2}}=\frac{36}{5}\times 5^{\frac{1}{2}}$$

Ag an chothromóid 18x=36\sqrt{1-x^{2}} réiteach uathúil.

$$x=\frac{2\sqrt{5}}{5}$$