Question

Calcule as raizes da equação ​

Answer 1

a)

$5x^2-20~=~0~~~ ~~~\rightarrow Simplificando~por~5\\\\\\x^2-4~=~0\\\\\\x.(x-4)~=~0\\\\\\\boxed{x'~=~0}\\\\\\x''-4~=~0\\\\\boxed{x''~=~4}$

b)

$\frac{\sqrt{2}}{3}x^2~=~0\\\\\\x^2~=~\frac{0}{\frac{\sqrt{2}}{3}}\\\\\\x^2~=~0\\\\\\x~=~\pm\sqrt{0}\\\\\\\boxed{x'~=~x''~=~0}$

c)

$x^2+\frac{x}{5}~=~0\\\\\\x.\left(x+\frac{1}{5}\right)~=~0\\\\\\\boxed{x'~=~0}\\\\\\x''+\frac{1}{5}~=~0\\\\\boxed{x''~=~-\frac{1}{5}}$