Question

Determine o valor de x nas seguintes equações:
A) |2x + 6| = 26

B) |4x + 5 + x| = 30

Answer 1

a)

$|2x+6|=26 \\ 2x+6=26 \\ 2x=26-6 \\ 2x=20$

$x=\frac{20}{2} \\ x=10$

$2x+6=-26 \\ 2x=-6-26\\ 2x=-32 \\x=-\frac{32}{2}$

$x=-16$

S={10,-16}

b)

$|4x+5+x|=30 \\|5x+5|=30$

$5x+5=30 \\ 5x=30-5 \\ 5x=25 \\ x=\frac{25}{5} \\ x=5$

$5x+5=-30 \\ 5x=-30-5 \\ 5x=-35 \\ x=-\frac{35}{5} \\ x=-7$

S={5,-7}