Use the discriminant to describe the roots of each equation. then select the best description. x2 - 5x + 7 = 0 double root real and rational roots real and irrational roots non-real roots

This has non-real roots.

The discriminant is given by b²-4ac.  If this is equal to 0, there is 1 real solution; if it is a positive number, there are 2 real solutions; and if it is negative, there are no real solutions.

In our equation, a = 1, b = -5, and c = 7:

(-5)²-4(1)(7) = 25 - 28 = -3

Thus no real solutions.

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