The graph is that of y = 2x2 - 5x - 3. For what value of x will y be negative? For what value of x will y be negative?
A.
-\(\frac{1}{2} \leq x\) < 3
B.
-\(\frac{1}{2} < x \leq 3\)
C.
-\(\frac{1}{2} < x < 3\)
D.
-\(\frac{1}{2} \leq x \leq 3\)
Correct answer is C
2x2 - 5x - 3 = 0
2x2 - 6x + x - 3 = 0
2x(x - 3) + 1(x - 3) = 0
(2x + 1)(x - 3) = 0
2x + 1 = 0
2x = -1
x = -\(\frac{1}{2}\)
x - 3 = 0
-\(\frac{1}{2}\) < x < 3