Question

Determine os valores reais das incógnitas em cada uma das equações
 
        2
A)5y-3y=0
 
       2
B)7x-35x=0

            2
C) (x-6)=2(x+18)
 
           2
D) √5x -x=0

Answer 1

$5y^2-3y=0\\ y(5y-3)=0\\ y_1=0\\ 5y-3=0\\ y_2= \frac{3}{5}\\\\ S= \{0, \frac{3}{5}\}\\\\\\ 7x^2-35x=0\\ x(7x-35)=0\\ x_1=0\\ 7x-35=0\\ x_2=5\\\\ S= \{0,5\}\\\\\\ (x-6)^2=2(x+18)\\ x^2-12x+36=2x+36\\ x^2-14x=0\\ x(x-14)=0\\ x_1=0\\ x-14=0\\ x=14\\\\ S=\{0,14\}\\\\\\ (\sqrt{5}x)^2-x=0\\ 5x^2-x=0\\ x(5x-1)=0\\ x_1=0\\ 5x-1=0\\ x= \frac{1}{5}\\\\ S=\{0,\frac{1}{5}\}$