Question

urgenteeeeeeeeeeee
$x {2} + \frac{5x}{2} - \frac{3}{2} = 0$
resolva a seguinte equação do 2° grau ​

Answer 1

Resposta:

S={-3, 1/2}

Explicação passo-a-passo:

x²+5x/2-3/2=0    ×(2)

2x²+5x-3=0

$Aplicando~a~f\'{o}rmula~de~Bhaskara~para~2x^{2}+5x-3=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=2{;}~b=5~e~c=-3\\\\\Delta=(b)^{2}-4(a)(c)=(5)^{2}-4(2)(-3)=25-(-24)=49\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(5)-\sqrt{49}}{2(2)}=\frac{-5-7}{4}=\frac{-12}{4}=-3\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(5)+\sqrt{49}}{2(2)}=\frac{-5+7}{4}=\frac{2}{4}=\frac{1}{2}\\\\S=\{-3,~\frac{1}{2}\}$