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Question

If the equation 5x24x+p=0 has no real roots, then values of p cannot be equal to

A
12
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B
56
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C
1
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D
65
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Solution

The correct option is A 12

The given quadratic equation 5x24x+p=0 has no real roots.
D<0
(4)24×5×p<0
1620p<0
16<20p
p>1620
p>45
p>0.8
Thus, p cannot be 12
Hence, the correct answer is option (1).

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