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Question

What is the condition for the quadratic equation x2+bx+c=0 to have real roots?

A
b2<4c
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B
b2>4c
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C
b24c
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D
b2=4c
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Solution

The correct option is C b24c
The discriminant of the quadratic equation ax2+bx+c=0, where a, b, c are real numbers is D=b24ac.
Thus, the discriminant of the equation x2+bx+c=0 is b24(1)(c)=b24c.

For real roots, D0.
Hence, b24c0.
b24c

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