Question

3ײ-7x=-2

fórmula de Bháskara​

Answer 1

Resposta:

x= 1/3 ou x=2

Explicação passo-a-passo:

3x²-7x= -2

3x²-7x+2=0

$\displaystyle Aplicando~a~f\'{o}rmula~de~Bhaskara~para~3x^{2}-7x+2=0~~e~comparando~com~(a)x^{2}+(b)x+(c)=0,~determinamos~os~coeficientes:~\\a=3{;}~b=-7~e~c=2\\\\C\'alculo~do~discriminante~(\Delta):&\\&~\Delta=(b)^{2}-4(a)(c)=(-7)^{2}-4(3)(2)=49-(24)=25\\\\C\'alculo~das~raizes:&\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-7)-\sqrt{25}}{2(3)}=\frac{7-5}{6}=\frac{2\div2}{6\div2}=\frac{1}{3}\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-7)+\sqrt{25}}{2(3)}=\frac{7+5}{6}=\frac{12}{6}=2$