Question

-2x²-6x-3=0 mim ajuda aí e pra amanhã

Answer 1

$\color{purple}{\Delta={b}^{2}-4ac} \\ \color{purple}{\Delta={( - 6)}^{2}-4.( - 2).( - 3)} \\ \color{purple}{\Delta=36 - 24 = 12}$

$\color{dodgerblue}{ \sqrt{ \Delta} } = \sqrt{12} = 2 \sqrt{3}$

$\color{gold}{x = \frac{ - b± \sqrt{\Delta} }{2a} } \\ \color{gold}{x = \frac{ - ( - 6)±2 \sqrt{3} }{2( - 2)} }$

$\color{gold}{x = \frac{6±2 \sqrt{3} }{ - 4} }$

$\color{blue}{x'} = \frac{ - 6 + 2 \sqrt{3} }{ - 4} = \frac{ - \cancel2(3 - \sqrt{3}) }{\cancel - 2.2}$

$\color{blue}{x'} = \frac{3 - \sqrt{3} }{2}$

$\color{blue}{x'' = \frac{ - 6 - 2 \sqrt{3} }{ - 4} } = \frac{\cancel - 2(3 + \sqrt{3})}{ \cancel- 2.2}$

$\color{blue}{x" = \frac{3 + \sqrt{3} }{2} }$