Question

Qual o valor de X elevado ao quadrado + 2x - 6 = 0​

Answer 1

Resposta:

Explicação passo-a-passo:

x²+2x-6=0

$Aplicando~a~f\'{o}rmula~de~Bhaskara~para~x^{2}+2x-6=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=1{;}~b=2~e~c=-6\\\\\Delta=(b)^{2}-4(a)(c)=(2)^{2}-4(1)(-6)=4-(-24)=28\\\\\sqrt{\Delta}=\sqrt{28}=\sqrt{4.7}=\sqrt{4}.\sqrt{7}=2\sqrt{7}\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(2)-2\sqrt{7}}{2(1)}=\frac{-2-2\sqrt{7}}{2}=-1-2\sqrt{7}\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(2)+2\sqrt{7}}{2(1)}=\frac{-2+2\sqrt{7}}{2}=-1+2\sqrt{7}$