Question

Como resolver a equação do segundo grau 4x^2= 9?

Answer 1

$\sf     4x {}^{2} = 9 \\ \\ \sf     4x {}^{2} \div 4 = 9 \div 4 \\ \\ \sf     x {}^{2} = 9 \div 4 \\ \\ \sf     x {}^{2} = \frac{9}{4} \\ \\ \sf     x = \pm \sqrt{ \frac{9}{4} } \\ \\ \\ \sf     x = \pm \frac{ \sqrt{9} }{ \sqrt{4} } \\ \\ \\ \sf     x= \pm \frac{ \sqrt{3 {}^{2} } }{ \sqrt{4} } \\ \\ \\ \sf     x = \pm \frac{3}{ \sqrt{4} } \\ \\ \\ \sf     x = \pm \frac{3}{ \sqrt{2 {}^{2} } } \\ \\ \\ \sf     x = \pm \frac{3}{2} \\ \\ \\ {\color{Blue}\boxed{\sf x_{1} = - \frac{3 }{2} {,}x_{2} = \frac{3}{2}{\color{lime}\longleftarrow Resposta } }}$

Att: Nerd1990