Solve the following quadratic equation for x 43x2+5x-23=0
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4√3 x2 + 5x -2√3 = 0
By factorisation
4√3 x2 + 8x -3x -2√3 = 0
4x(√3 x + 2 ) -√3 (√3 x + 2 ) = 0
(√3 x + 2 ) (4x - √3 ) = 0
Hence x = √3/4 or x = -2/√3
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By quadratic eqn. formula
begin mathsize 12px style x space equals space fraction numerator negative 5 plus-or-minus square root of 25 plus 96 end root over denominator 8 square root of 3 end fraction space equals space fraction numerator negative 5 plus-or-minus 11 over denominator 8 square root of 3 end fraction space
end style
hence x = √3/4 or x = -2/√3
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