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CBSE Class 10 Answered

4√3x^2+5x-2√3=0 Solve the quadratic equation
Asked by vijayalakshmiputravu | 04 Mar, 2019, 07:46: PM
answered-by-expert Expert Answer
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
---------------------------------------
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
Answered by Thiyagarajan K | 04 Mar, 2019, 08:16: PM

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