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Solve the Following Quadratic Equation for X: 4 √ 3 X 3 + 5 X − 2 √ 3 = 0 - Mathematics

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Question

Solve the following quadratic equation for x:

`4sqrt3x^3+5x-2sqrt3=0`

Solution

`4sqrt3x^3+5x-2sqrt3=0`

`rArr 4sqrt3^3+8x-3x-2sqrt3=0`

`rArr4x(sqrt3x+2)-sqrt3(sqrt3x+2)=0`

`rArr(sqrt3)/4\text{or}  x = -2/sqrt3`

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2012-2013 (March) Delhi set 1
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