Question

resolva as equações:
x²-10x=0
x²+6x=0
x²-11x=0
3x²+6x=0
5x²-15x=0
5x²-3x=0

Answer 1

${x}^{2} - 10x = 0 \\ x \times (x - 10) = 0 \\ ou \: \\ x - 10 = 0 \\x = 10$

${x}^{2} + 6x = 0 \\ x \times (x + 6) = 0 \\ ou \\ x + 6 = 0 \\ x = - 6$

${x}^{2} - 11x = 0 \\ x \times (x - 11) = 0 \\ ou \\ x - 11 = 0 \\ x = 11$

${ 3x}^{2} + 6x = 0 \\ x \times (3x + 6) = 0 \\ ou \\ 3x + 6 = 0 \\ 3x = - 6 \\ x = - \frac{6}{3} \\ x = - 2$

${5x}^{2} - 15x = 0 \\ x \times (5x - 15) = 0 \\ ou \\ 5x - 15 = 0 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3$

${5x}^{2} - 3x = 0 \\ x \times (5x - 3) = 0 \\ ou \\ 5x - 3 = 0 \\ 5x = 3 \\ x = \frac{3}{5} \\ x = 0.6$