Question

$3x = \sqrt{3 - 5x - {3x}^{2} }$
​

Answer 1

$3x = \sqrt{3 - 5x - 3 {x}^{2} }$

$(3x) {}^{2} = ( \sqrt{3 - 5x - {3x}^{2} } ) {}^{2} \\ 9 {x}^{2} = 3 - 5x + 3 {x}^{2} \\ 9 {x}^{2} - 3 {x}^{2} + 5x - 3 = 0 \\ 6 {x}^{2} + 5x - 3 = 0$

$x = \frac{ - 3 + - \sqrt{9 - ( - 60)} }{2(6)} \\ x = \frac{ - 3 + - \sqrt{69} }{12} \\ x = - \frac{1}{4} + \frac{ \sqrt{69} }{12} \\ \\ x = - \frac{1}{4} - \frac{ \sqrt{69} }{12}$

esas dos son las respuestas