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प्रश्न
Form the quadratic equation from the roots given below.
\[\frac{1}{2}, - \frac{1}{2}\]
बेरीज
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उत्तर
\[\frac{1}{2}, - \frac{1}{2}\]
Sum of roots =\[\frac{1}{2} + \left( - \frac{1}{2} \right) = 0\]
Product of roots = \[\frac{1}{2} \times \left( \frac{- 1}{2} \right) = \frac{- 1}{4}\]
The general form of the quadratic equation is \[x^2 - \left( \text{ Sum of roots } \right)x + \text{ Product of roots } = 0\]
So, the quadratic equation obtained is \[x^2 - \left( 0 \right)x + \left( \frac{- 1}{4} \right) = 0\]
\[\Rightarrow x^2 - \frac{1}{4} = 0\]
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