Question

Resolva a equação X ao quadrado + x/2 = 14​

Answer 1

Resposta:

Explicação passo-a-passo:

x²+x/2=14

Multiplique tudo por 2

2x²+x=28

2x²+x-28=0

$\displaystyle Aplicando~a~f\'{o}rmula~de~Bhaskara~para~2x^{2}+x-28=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=2{;}~b=1~e~c=-28\\\\\Delta=(b)^{2}-4(a)(c)=(1)^{2}-4(2)(-28)=1-(-224)=225\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(1)-\sqrt{225}}{2(2)}=\frac{-1-15}{4}=\frac{-16}{4}=-4\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(1)+\sqrt{225}}{2(2)}=\frac{-1+15}{4}=\frac{14\div2}{4\div2}=\frac{7}{2} \\\\\\S=\{-4,~\frac{7}{2} \}$