Solve the equation 3×2 + 6x – 2 = 0
-
A.
x = -1 (pm) (frac{sqrt{3}}{3}) -
B.
x = -1 (pm) (frac{sqrt{15}}{3}) -
C.
x = -2 (pm) 2 -
D.
x = 3 (pm) (frac{sqrt{3}}{15})
Correct Answer: Option B
Explanation
3×2 + 6x – 2 = 0
Using almighty formula i.e. x = (frac{b pm sqrt{b^2 – 4ac}}{2a})
a = 3, b = 6, c = -2
x = (frac{-6 pm sqrt{6^2 – 4(3)(-2)}}{2(3)})
x = (frac{-6 pm sqrt{36 + 24}}{6})
x = (frac{-6 pm sqrt{60}}{6})
x = (frac{-6 pm sqrt{4 times 15}}{6})
x = (-1 pm frac{sqrt{15}}{3})