Find the roots of the quadratic equation 6x²-x-2 by splitting the middle term?
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Finding the roots of the quadratic equation
6x^2 - x - 26x
2
−x−2 = 0
= 6x^2 + 3x - 4x - 26x
2
+3x−4x−2
= 3x ( 2x +1 ) - 2 ( 2x + 1 )3x(2x+1)−2(2x+1)
= ( 3x - 2 ) ( 2x + 1 )(3x−2)(2x+1) = 0
x = \frac{2}{3}x=
3
2
x = \frac{-1}{2}x=
2
−1
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