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Question

The condition for the equation x2+bx+c=0 to have real roots is ____.



A

b24c<0

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B

b24c0

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C

b24c0

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D

b2+4c>0

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Solution

The correct option is B

b24c0


For an equation to have real roots, discriminant  D0,
(b24ac0)
The standard form of a quadratic equation is ax2+bx+c=0
Here, 
 a = 1
So the condition will be, b24c0


Mathematics

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