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Question
Discuss the nature of roots of − x2 + 3x + 1 = 0
Solution
− x2 + 3x + 1 = 0
⇒ comparing with ax2 + bx + c = 0
∆ = b2 – 4ac
= (3)2 – 4(1)(–1)
= 9 + 4
= 13 > 0
⇒ The roots are real and distinct
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