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Solve the equation 3 + 5x – 2×2 = 0

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})

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