Question

dauuuu coroanaa ex3,4,5,11,12,13​

Answer 1

Explicație pas cu pas:

5)

a)

$|x + 3| = 2$

$x + 3 = - 2 \iff x = - 2 - 3 \\ \implies \bf x = - 5$

$x + 3 = 2 \iff x = 2 - 3 \\ \implies \bf x = - 1$

b)

$|x + 1| = - 2$

$|x + 1| \geqslant 0$

$\implies x \in \O$

c)

$|3 - 2x| = 5$

$3 - 2x = - 5 \iff - 2x = - 5 - 3 \\ - 2x = - 8 \implies \bf x = 4$

$3 - 2x = 5 \iff - 2x = 5 - 3 \\ - 2x = 2\implies \bf x = - 1$

d)

$|x - \sqrt{2} | = \sqrt{2}$

$x - \sqrt{2} = - \sqrt{2} \iff x = - \sqrt{2} + \sqrt{2} \\ \implies \bf x = 0$

$x - \sqrt{2} = \sqrt{2} \iff x = \sqrt{2} + \sqrt{2} \\ \implies \bf x = 2 \sqrt{2}$