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Question

Find the roots of the quadratic equation 6x2-x-2=0.


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Solution

Solve for x:

The given equation is 6x2-x-2=0

6x2-4x+3x-2=0

2x3x-2+13x-2=0

3x-22x+1=0

3x-2=0,2x+1=0

x=23,-12

Hence, the roots of the given equation are 23 and -12.


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