Question

Решите уравнение без дискриминантов 49/81m^2-1=0

Answer 1

49/81m^2-1=0
$\frac{49m}{81} -1= ( \frac{7m}{9}) ^{2} -1^2=( \frac{7m}{9} -1)( \frac{7m}{9} +1)=0 \\ 7m=9 \\ m_{1} = \frac{9}{7} \\ 7m=-9 \\ m_{2} =- \frac{9}{7} \\$