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प्रश्न
Find the nature of the roots of the following quadratic equations: `x^2 - (1)/(2)x - (1)/(2)` = 0
उत्तर
`x^2 - (1)/(2)x - (1)/(2)` = 0
Here `a = 1, b = -(1)/(2), c = -(1)/(2)`
∴ D = b2 - 4ac
= `((-1)/2)^2 - 4 xx 1 xx ((-1)/2)`
= `(1)/(4) + 2`
= `(9)/(4)`
∴ D = `(9)/(4) > 0`
∴ Roots are real and unequal.
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