Solve the equation 3 + 5x – 2x2 = 0
-
A.
(-frac{1}{2},-3) -
B.
2, 3 -
C.
-2, 3 -
D.
(-frac{1}{2},3)
Correct Answer: Option D
Explanation
(3 + 5x – 2x^2 = 0\
3 + 6x – x – 2x^2 = 0\
3(1 + 2x) – x(1 + 2x) = 0\
(3-x)(1+2x)=0\
3-x = 0 hspace{1mm}or hspace{1mm}1+2x = 0\
x = 3hspace{1mm} x = -frac{1}{2}\
x = 3 hspace{1mm}orhspace{1mm} x =-frac{1}{2})