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Question

The equation x2+bx+c=0 would have real roots if ____.

A
b24c<0
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B
b24c0
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C
b2+4c0
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D
b2+4c>0
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Solution

The correct option is B b24c0
Consider the standard form of a quadratic equation ax2+bx+c=0, where a,b and c are constants.
The equation has real roots if the discriminant, D=b24ac0.
Now, considering the equation x2+bx+c=0, we have
D=b24c.
For this equation to have real roots, we must have b24c.0

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