Find the number of real number solutions for the equation. x^2 - 3x + 8 = 0
a) 2
b) 0
c) cannot be determined
d) 1

0

Step-by-step explanation:

Read off the coefficients of this quadratic polynomial x^2 - 3x + 8 = 0:

a = 1, b = -3, c = 8.

Now calculate the discriminant, b² - 4ac:

(-3)² - 4(1)(8) = 9 - 32 = -23

Because the discriminant is negative, the two roots will be complex.  There are no real roots.  Correct answer is B (0).

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