InterviewSolution
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InterviewSolution
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The solution of which equation is an irrational number ? A) 1/x = 3/4B) x2 = 49/20C) 1/2x + 1/5 = 1/3D) x2 = 9/16 |
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Answer» Correct option is (B) x2 = 49/20 (A) \(\frac{1}{x}=\frac{3}{4}\) \(\Rightarrow\) \(x=\frac{1}{\frac{3}{4}}=\frac{4}{3}\) is a rational number. (B) \(x^2=\frac{49}{20}\) \(\Rightarrow\) \(x=\sqrt{\frac{49}{20}}=\frac{7}{2\sqrt5}\) is an irrational number. (C) \(\frac{1}{2}x+\frac{1}{5}=\frac{1}{3}\) \(\Rightarrow\) \(\frac x2=\frac13-\frac{1}{5}=\frac{2}{15}\) \(\Rightarrow x=\frac4{15}\) is a rational number. (D) \(x^2=\frac{9}{16}\) \(\Rightarrow\) \(x=\sqrt{\frac{9}{16}}=\frac{\sqrt9}{\sqrt{16}}=\frac{3}{4}\) is a rational number. Correct option is (B) x2 = 49/20 |
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