Question

Rezolvați ecuatiile
$\sqrt{6 \: } x + \sqrt{24} = 0$
$\sqrt{5} x - \sqrt{80} = 0$
$3 \sqrt{3} x = \sqrt{75}$
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Answer 1

Răspuns:

a) x = -2

b) x = 4

c) $x = \frac{5}{3}$

Explicație pas cu pas:

a)

$\sqrt{6} x + \sqrt{24} = 0$

$\sqrt{6} x = -\sqrt{24}$

$x = \frac{-\sqrt{24} }{\sqrt{6} } = -\sqrt{\frac{24}{6} } = -\sqrt{4} = -2$

b)

$\sqrt{5} x - \sqrt{80} = 0$

$\sqrt{5} x = \sqrt{80}$

$x = \frac{\sqrt{80} }{\sqrt{5} } = \sqrt{\frac{80}{5} } = \sqrt{16} = 4$

c)

$3\sqrt{3} x = \sqrt{75}$

$x = \frac{\sqrt{75} }{3\sqrt{3} } = \frac{\sqrt{25*3} }{3\sqrt{3} } = \frac{5\sqrt{3} }{3\sqrt{3} } = \frac{5}{3}$

Answer 2

a) rad6 x = - rad24
x = - rad4 = - 2

b) rad5x = rad80
x = rad16 = 4

c) x = 5rad3/3rad3 = 5/3