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Question
Discuss the nature of the roots of the following equation: `x^2 - (1)/(2)x - 4` = 0
Solution
`x^2 - (1)/(2)x - 4` = 0
Here a = 1, b = `(1)/(2)`, c = –4
∴ D = b2 – 4ac
= `(1/2)^2 - 4 xx 1 xx (-4)`
= `(1)/(4) + 16`
= `(65)/(4)`
∵ D > 0
∴ Roots are real and distinct.
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