SOLUTION: 17. Suppose the real numbers a, b, and c are such that the graph of y = ax2 + bx + c is entirely below the x-axis. What can you conclude about the solution(s) of the quadratic equa
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Question 1197582: 17. Suppose the real numbers a, b, and c are such that the graph of y = ax2 + bx + c is entirely below the x-axis. What can you conclude about the solution(s) of the quadratic equation ax2 + bx + c = 0?
A. Only one solution, which is real
B. Two real solutions, which are negative
C. Two real solutions, one positive and one negative
D. Two complex solutions which are not conjugates of each other
E. There are no solutions
F. Two complex solutions, which are conjugates of each other
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
The equation is a quadratic polynomial, so it has two solutions.
graph entirely below x-axis --> graph does not cross the x-axis --> there are no real solutions --> there are two complex solutions
Then, since a, b, and c are real numbers, the two complex solutions are conjugates of each other.
ANSWER: F
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