algebra

if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have?
A-2 real, rational roots
B-2 real, irrational roots
C-1 real, irrational roots
D-2 imaginary roots

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  1. 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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