Question

4√3 x^2 + 5x - 2√3 factorise

Answer 1

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

Answer 2

4√3 x² +5x -2√3 =0
⇒4√3 x² +8x -3x -2√3=0
⇒4x(√3 x+2) -√3(√3x +2) =0
⇒(√3x +2)(4x -√3) =0
⇒(√3x +2) =0 or (4x-√3) =0
⇒x = -2/√3 or √3/4