Mathematics
The equation 3x2 - 12x + (n - 5) = 0 has equal roots. Find the value of n.
Quadratic Equations
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Answer
Comparing 3x2 - 12x + (n - 5) = 0 with ax2 + bx + c = 0 we get,
a = 3, b = -12 and c = (n - 5).
Since equations have equal roots,
∴ D = 0
⇒ (-12)2 - 4.(3).(n - 5) = 0
⇒ 144 - 12(n - 5) = 0
⇒ 144 - 12n + 60 = 0
⇒ 204 - 12n = 0
⇒ 12n = 204
⇒ n =
⇒ n = 17
Hence, n = 17.
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