Question

Resolva o cálculo : 6x² - 4x - 10 = 0​

Answer 1

Resposta:

Explicação passo-a-passo:

6x² - 4x - 10 = 0    (÷2)

3x²-2x-5=0

$\displaystyle Aplicando~a~f\'{o}rmula~de~Bhaskara~para~3x^{2}-2x-5=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=3{;}~b=-2~e~c=-5\\\\\Delta=(b)^{2}-4(a)(c)=(-2)^{2}-4(3)(-5)=4-(-60)=64\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-2)-\sqrt{64}}{2(3)}=\frac{2-8}{6}=\frac{-6}{6}=-1\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-2)+\sqrt{64}}{2(3)}=\frac{2+8}{6}=\frac{10\div2}{6\div2}=\frac{5}{3}\\\\\\S=\{-1,~\frac{5}{3}\}$