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Question
Discuss the nature of the roots of the following equation: `5x^2 - 6sqrt(5)x + 9` = 0
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Solution
`5x^2 - 6sqrt(5)x + 9` = 0
Here `a = 5, b = -6sqrt(5), c = 9`
∴ D = b2 – 4ac
= `(-6sqrt(5))^2 - 4 xx 5 xx 9`
= 180 - 180
= 0
∴ D = 0
∴ Roots are real and equal.
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