заметим x² = |x|²
|x| = t >= 0
x² - 2|x| - 48 = 0
t² - 2t - 48 = 0
D = b² - 4ac = 4 + 4*48 = 196
t12 = (2 +- 14)/2 = 8 -6
t1 = - 6 нет
t2 = 8
|x| = 8
x = +- 8
Ответ 2 решения
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Verified answer
заметим x² = |x|²
|x| = t >= 0
x² - 2|x| - 48 = 0
t² - 2t - 48 = 0
D = b² - 4ac = 4 + 4*48 = 196
t12 = (2 +- 14)/2 = 8 -6
t1 = - 6 нет
t2 = 8
|x| = 8
x = +- 8
Ответ 2 решения