Question

3. Rezolvaţi ecuația:
||2x - 71-12| = 15.

Answer 1

Explicație pas cu pas:

$||2x - 7| -12| = 15$

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$|2x - 7| -12 = - 15 \\ |2x - 7| = - 15 + 12$

$|2x - 7| = - 3 < 0 \to x \not \in \mathbb{R}$

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$|2x - 7| -12 = 15 \\ |2x - 7| = 15 + 12$

$|2x - 7| = 27$

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$2x - 7 = - 27 \\ 2x = - 27 + 7$

$2x = - 20 \implies \bf x = - 10$

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$2x - 7 = 27 \\ 2x = 27 + 7$

$2x = 34 \implies \bf x = 17$