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Question
Discuss the nature of the roots of the following quadratic equations : `x^2 - (1)/(2)x + 4` = 0
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Solution
`x^2 - (1)/(2)x + 4` = 0
Here a = 1, b = `-(1)/(2)`, c = 1
∴ D = b2 - 4ac
= `(-1/2) - 4 xx 1 xx 4`
= `(1)/(4) - 16`
= `-(63)/(4)`
∵ D < 0
∴ Roots are not real.
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