Question

Решите уравнение -4|2x+5,6|=-1,6

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Answer 1

$\displaystyle \tt - 4 |2x + 5.6| = - 1.6 \: \: \: \: \: | \div ( - 4) \\ \displaystyle \tt |2x + 5.6| = 0.4 \\ \\\displaystyle \tt 2x + 5.6 = 0.4 \\ \displaystyle \tt 2x = 0.4 - 5.6 \\\displaystyle \tt 2x = - 5.2 \\ \displaystyle \tt x = - 5.2 \div 2 \\ \displaystyle \tt \bold{x_1 = - 2.6} \\ \\ \displaystyle \tt 2x + 5.6 = - 0.4 \\ \displaystyle \tt 2x = - 0.4 - 5.6 \\ \displaystyle \tt 2x = - 6 \\\displaystyle \tt x = - 6 \div 2 \\ \displaystyle \tt \bold{x_2 = - 3}$