सोडोवचें frac{5x-2sqrt{2}}{sqrt{2}}-x-3/2-11x-1/3sqrt{2}=0

$$\frac { 5 x - 2 \sqrt { 2 } } { \sqrt { 2 } } - \frac { x - 3 } { 2 } - \frac { 11 x - 1 } { 3 \sqrt { 2 } } = 0$$

x खातीर सोडोवचें

$$x=\frac{9\sqrt{2}+1}{23}\approx 0.596866177$$

लिनियर समिकरण सोडोवंक पांवडे

2 वरवीं समिकरणाच्या दोनूय कुशींक गुणाकार करचो.

$$2^{\frac{1}{2}}\left(5x-2\sqrt{2}\right)-\left(x-3\right)-\frac{1}{3}\times 2^{\frac{1}{2}}\left(11x-1\right)=0$$

5x-2\sqrt{2} न 2^{\frac{1}{2}} गुणपाक विभाजक विशमाचो वापर करचो.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-\left(x-3\right)-\frac{1}{3}\times 2^{\frac{1}{2}}\left(11x-1\right)=0$$

x-3 चो विरोधी सोदूंक, दरेक सज्ञेचो विरोधी सोदचो.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x-\left(-3\right)-\frac{1}{3}\times 2^{\frac{1}{2}}\left(11x-1\right)=0$$

-3 च्या विरुध्दार्थी अंक 3 आसा.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x+3-\frac{1}{3}\times 2^{\frac{1}{2}}\left(11x-1\right)=0$$

11x-1 न \frac{1}{3}\times 2^{\frac{1}{2}} गुणपाक विभाजक विशमाचो वापर करचो.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x+3-\left(\frac{1}{3}\times 2^{\frac{1}{2}}\times 11x+\frac{1}{3}\times 2^{\frac{1}{2}}\left(-1\right)\right)=0$$

\frac{11}{3} मेळोवंक \frac{1}{3} आनी 11 गुणचें.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x+3-\left(\frac{11}{3}\times 2^{\frac{1}{2}}x+\frac{1}{3}\times 2^{\frac{1}{2}}\left(-1\right)\right)=0$$

-\frac{1}{3} मेळोवंक \frac{1}{3} आनी -1 गुणचें.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x+3-\left(\frac{11}{3}\times 2^{\frac{1}{2}}x-\frac{1}{3}\times 2^{\frac{1}{2}}\right)=0$$

\frac{11}{3}\times 2^{\frac{1}{2}}x-\frac{1}{3}\times 2^{\frac{1}{2}} चो विरोधी सोदूंक, दरेक सज्ञेचो विरोधी सोदचो.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x+3-\frac{11}{3}\times 2^{\frac{1}{2}}x-\left(-\frac{1}{3}\times 2^{\frac{1}{2}}\right)=0$$

-\frac{1}{3}\times 2^{\frac{1}{2}} च्या विरुध्दार्थी अंक \frac{1}{3}\times 2^{\frac{1}{2}} आसा.

$$2^{\frac{1}{2}}\times 5x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x+3-\frac{11}{3}\times 2^{\frac{1}{2}}x+\frac{1}{3}\times 2^{\frac{1}{2}}=0$$

\frac{4}{3}\times 2^{\frac{1}{2}}x मेळोवंक 2^{\frac{1}{2}}\times 5x आनी -\frac{11}{3}\times 2^{\frac{1}{2}}x एकठांय करचें.

$$\frac{4}{3}\times 2^{\frac{1}{2}}x+2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-x+3+\frac{1}{3}\times 2^{\frac{1}{2}}=0$$

दोनूय कुशींतल्यान 2^{\frac{1}{2}}\left(-2\right)\sqrt{2} वजा करचें. किदेंय शुन्यातल्यान वजा केल्यार अभाव दाखयता.

$$\frac{4}{3}\times 2^{\frac{1}{2}}x-x+3+\frac{1}{3}\times 2^{\frac{1}{2}}=-2^{\frac{1}{2}}\left(-2\right)\sqrt{2}$$

दोनूय कुशींतल्यान 3 वजा करचें.

$$\frac{4}{3}\times 2^{\frac{1}{2}}x-x+\frac{1}{3}\times 2^{\frac{1}{2}}=-2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-3$$

दोनूय कुशींतल्यान \frac{1}{3}\times 2^{\frac{1}{2}} वजा करचें.

$$\frac{4}{3}\times 2^{\frac{1}{2}}x-x=-2^{\frac{1}{2}}\left(-2\right)\sqrt{2}-3-\frac{1}{3}\times 2^{\frac{1}{2}}$$

संज्ञा परत क्रमान लावची.

$$\frac{4}{3}\sqrt{2}x-x=-\left(-2\sqrt{2}\sqrt{2}\right)-3-\frac{1}{3}\sqrt{2}$$

2 मेळोवंक \sqrt{2} आनी \sqrt{2} गुणचें.

$$\frac{4}{3}\sqrt{2}x-x=-\left(-2\right)\times 2-3-\frac{1}{3}\sqrt{2}$$

2 मेळोवंक -1 आनी -2 गुणचें.

$$\frac{4}{3}\sqrt{2}x-x=2\times 2-3-\frac{1}{3}\sqrt{2}$$

4 मेळोवंक 2 आनी 2 गुणचें.

$$\frac{4}{3}\sqrt{2}x-x=4-3-\frac{1}{3}\sqrt{2}$$

1 मेळोवंक 4 आनी 3 वजा करचे.

$$\frac{4}{3}\sqrt{2}x-x=1-\frac{1}{3}\sqrt{2}$$

x आसपी सगळ्यो संज्ञा एकठांय करच्यो.

$$\left(\frac{4}{3}\sqrt{2}-1\right)x=1-\frac{1}{3}\sqrt{2}$$

समिकरण प्रमाणिक स्वरूपांत आसा.

$$\left(\frac{4\sqrt{2}}{3}-1\right)x=-\frac{\sqrt{2}}{3}+1$$

दोनुय कुशींक \frac{4}{3}\sqrt{2}-1 न भाग लावचो.

$$\frac{\left(\frac{4\sqrt{2}}{3}-1\right)x}{\frac{4\sqrt{2}}{3}-1}=\frac{-\frac{\sqrt{2}}{3}+1}{\frac{4\sqrt{2}}{3}-1}$$

\frac{4}{3}\sqrt{2}-1 वरवीं भागाकार केल्यार \frac{4}{3}\sqrt{2}-1 वरवीं केल्लो गुणाकार काडटा.

$$x=\frac{-\frac{\sqrt{2}}{3}+1}{\frac{4\sqrt{2}}{3}-1}$$

\frac{4}{3}\sqrt{2}-1 न1-\frac{\sqrt{2}}{3} क भाग लावचो.

$$x=\frac{9\sqrt{2}+1}{23}$$