Consider only the discriminant, $b ^ { 2 } - 4 a c$ to determine whether one real-number solution, two different real-number
solutions, or two different imaginary-number solutions exist.
-$$25 x ^ { 2 } - 10 x + 1 = 0$$
A) One real solution
B) Two different imaginary-number solutions
C) Two different real-number solutions

Question

Quizplus · Accepted Answer

The discriminant is $b^2 - 4ac = (-10)^2 - 4(25)(1) = 100 - 100 = 0$. A discriminant of 0 indicates that there is exactly one real solution.

Consider Only the Discriminant b2−4acb ^ { 2 } - 4 a cb2−4ac

Consider Only the Discriminant $b ^ { 2 } - 4 a c$