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Solve the following quadratic equations ...

Solve the following quadratic equations by factorisation method:
`6x-(2)/(x)=1`

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(3),(1)/(2)` are the roots of the given quadratic equation.
`6x-(2)/(x)=1`
Multiplying each term of the equation by x,
`6x^(2)-2=x" "6xx(-2)`
`:.6x^(2)-x-2=0" "=-12`
`:.6x^(2)-4x+3x-2=0" "-4+3`
`:.2x(3x-2)+1(3x-2)=0`
`:.(3x-2)(2x+1)=0`
`:.3x-2=0or2x+1=0" ":.3x=2or2x=-1`
`:.x=(2)/(3)orx=-(1)/(2)`
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