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Question


Find the values of p if the equation x2x+p=0 does not possess real roots.

A
p > 18
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B
p > 14
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C
p > 12
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D
p > 1
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Solution

The correct option is B p > 14
On comparing the given equation x2x+p=0 with standard form ax2+bx+c=0, we get

a = 1, b = -1 and c = p

We know that when a quadratic equation has no real roots, discriminant, D < 0.

b24ac<0

(1)24(1)(p)<0

14p<0

4p>1

p>14

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