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In the following, find the value (s) of P so that the given equation has equal roots 3x 2 - 5x + P = 0
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- 25 12 -
25 6 -
25 12 -
- 25 6
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Correct Option: C
The given quadratic equation is
3x 2 - 5x + P = 0
Comparing with ax 2 + bx + c = 0, we get
a = 0, b = - 5, c = P
If the given quadratic equation has equal roots then its discriminant = 0
⇒ b 2 - 4ac = 0
⇒ ( - 5 ) 2 - 4 x (3) x (P) = 0
⇒ 25 - 12P = 0
| ⇒ P = | |
Hence , required answer is option C .
