Réitigh 600x=sqrt{x^2-0.04}*750

$$600 x = \sqrt { x ^ { 2 } - 0.04 } \times 750$$

Réitigh do x.

$$x=\frac{1}{3}\approx 0.333333333$$

Céimeanna Réitigh

Cearnaigh an dá thaobh den chothromóid.

$$\left(600x\right)^{2}=\left(750\sqrt{x^{2}-0.04}\right)^{2}$$

Fairsingigh \left(600x\right)^{2}

$$600^{2}x^{2}=\left(750\sqrt{x^{2}-0.04}\right)^{2}$$

Ríomh cumhacht 600 de 2 agus faigh 360000.

$$360000x^{2}=\left(750\sqrt{x^{2}-0.04}\right)^{2}$$

Fairsingigh \left(750\sqrt{x^{2}-0.04}\right)^{2}

$$360000x^{2}=750^{2}\left(\sqrt{x^{2}-0.04}\right)^{2}$$

Ríomh cumhacht 750 de 2 agus faigh 562500.

$$360000x^{2}=562500\left(\sqrt{x^{2}-0.04}\right)^{2}$$

Ríomh cumhacht \sqrt{x^{2}-0.04} de 2 agus faigh x^{2}-0.04.

$$360000x^{2}=562500\left(x^{2}-0.04\right)$$

Úsáid an t-airí dáileach chun 562500 a mhéadú faoi x^{2}-0.04.

$$360000x^{2}=562500x^{2}-22500$$

Bain 562500x^{2} ón dá thaobh.

$$360000x^{2}-562500x^{2}=-22500$$

Comhcheangail 360000x^{2} agus -562500x^{2} chun -202500x^{2} a fháil.

$$-202500x^{2}=-22500$$

Roinn an dá thaobh faoi -202500.

$$x^{2}=\frac{-22500}{-202500}$$

Laghdaigh an codán \frac{-22500}{-202500} chuig na téarmaí is ísle trí -22500 a bhaint agus a chealú.

$$x^{2}=\frac{1}{9}$$

Tóg fréamh chearnach an dá thaobh den chothromóid.

$$x=\frac{1}{3} x=-\frac{1}{3}$$

Cuir \frac{1}{3} in ionad x sa chothromóid 600x=750\sqrt{x^{2}-0.04}.

$$600\times \frac{1}{3}=750\sqrt{\left(\frac{1}{3}\right)^{2}-0.04}$$

Simpligh. An luach x=\frac{1}{3} shásaíonn an gcothromóid.

$$200=200$$

Cuir -\frac{1}{3} in ionad x sa chothromóid 600x=750\sqrt{x^{2}-0.04}.

$$600\left(-\frac{1}{3}\right)=750\sqrt{\left(-\frac{1}{3}\right)^{2}-0.04}$$

Simpligh. Níl an chothromóid comhlíonann luach x=-\frac{1}{3} toisc nach bhfuil ag an taobh clé agus an taobh deas comharthaí os a chomhair.

$$-200=200$$

Ag an chothromóid 600x=750\sqrt{x^{2}-0.04} réiteach uathúil.

$$x=\frac{1}{3}$$