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Question

For the quadratic equation ax2+bx4=0, a,bR and a>0, then which of the following is always true?

A
roots are real, distinct and have same sign
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B
roots are real, distinct and have opposite sign
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C
roots are not real
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D
roots are real and repeated
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Solution

The correct option is B roots are real, distinct and have opposite sign
ax2+bx4=0, a,bR and a>0

D=b2+16a>0 (a>0)
Real and distinct roots
Product of roots
=4a<0
Roots are opposite in sign.

Hence, the roots are real, distinct and have opposite sign.



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