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हल कीजिए:\(\frac{4}{9}x^2=1\)

Answer»

\(\frac{4}{9}x^2=1\)
⇒ \(x^2 =\frac{9}{4}\)

⇒ \(x=\pm\sqrt{\frac{9}{4}}\)

अत: = \(\pm=\frac{3}{2}\) तथा \(\frac{-3}{2}\)

सत्यापनः बायां पक्ष  \(\frac{4}{9}x^2=\frac{4}{9}\times(\frac{3}{2})^2\)

\(=\frac{4}{9}\times(\frac{9}{4})\)

\(=1\)

तथा , \(\frac{4}{9}x^2=\frac{4}{9}\times(\frac{-3}{2})^2\)

\(=\frac{4}{9}\times\frac{9}{4}=1\) = दायां पक्ष



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