Question

Find the roots of 4 V3 x² +5x -2 V3 =0 by factorization method.​

Answer 1

Answer:

Hey Mate!!

$4 \sqrt{3} {x}^{2} + 5x - 2 \sqrt{3} \\ = > 4 \sqrt{3} {x}^{2} + 8x - 3x - 2 \sqrt{3} \\ = > 4x( \sqrt{3} x + 2) - \sqrt{3} ( \sqrt{3} x - 2) \\ = > \boxed{\bold{(4x - \sqrt{3} )( \sqrt{3} x + 2)}}$

Therefore, (4x - √3) and (√3x + 2) are the factors of the polynomials,

•••> x = √3/4 OR x = (-2/√3) are the roots of the polynomial.