Final answer:
The discriminant value of 17 for a quadratic equation indicates two distinct, real, and irrational solutions, as the discriminant is positive and not a perfect square, implying the roots involve the square root of 17.
Step-by-step explanation:
If the discriminant of a quadratic equation is equal to 17, this means that the equation will have two distinct real and irrational solutions. The general form of a quadratic equation is ax² + bx + c = 0, and the discriminant can be found by using the formula b² - 4ac. When the discriminant is positive and not a perfect square, it indicates two irrational roots which are not rational numbers. Therefore, the correct option is:
(C) Two Irrational Solutions
The quadratic equation mentioned with a = 1.00, b = 10.0, and c = -200 can be solved using the quadratic formula, which is -b ± √b² - 4ac over 2a. Since the discriminant is positive and not a perfect square, applying the formula will yield two complex numbers that involve square roots of 17, thus validating that they are indeed irrational.