if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have?
A2 real, rational roots
B2 real, irrational roots
C1 real, irrational roots
D2 imaginary roots
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1 answer

Hints: here are the possible situations:
When discriminant is negative:
2 imaginary roots
When discriminant is a positive perfect square, such as 1, 4, 9, 16... and all coefficients are rational:
2 real, rational roots
When discriminant is zero, and either coefficient a or b is irrational:
1 real, irrational roots
When discriminant is a positive number but not a perfect square:
2 real, irrational roots 👍
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