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प्रश्न
The equation 3x2 – 12x + (n – 5) = 0 has equal roots. Find the value of n.
उत्तर
3x2 – 12x + (n – 5) = 0
Here a = 3, b = –12 and c = n – 5
Given equation has equal roots
Then D = 0
`\implies` b2 – 4ac = 0
`\implies` [–12]2 – 4(3)(n – 5) = 0
`\implies` 144 – 12n + 60 = 0
`\implies` –12n = –204
`\implies` n = `(-204)/(-12)` = 17
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