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An equation whose discriminant is negative has how many real solutions?
ANo real solution
BOne real solution
CTwo real solutions
DFour real solutions
Answer & Solution
Correct answer: A. No real solution
1. The discriminant sits under a square root in the formula.
2. When the discriminant is positive the equation has two solutions.
3. When the discriminant is zero the equation has one solution.
4. A negative discriminant would require the square root of a negative number.
5. In one worked example there was no real solution for exactly that reason.
_Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 10 'Quadratic Equations', sections 10.1-10.5_
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