Question

exercitiu 6 va rog urggennttt​

Answer 1

6. a) $\frac{1}{9} x^{2}=16$

$x^{2} =144$

x1=12,x2=-12

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$\frac{1}{100} x^{2} -\frac{1}{64} =0$

$16x^{2} -25=0$

$16x^{2} =25$

$x^{2} =\frac{25}{16}$

$x1=\frac{5}{4}$, $x2=-\frac{5}{4}$

b)$2x^{2} =3$

$x^{2} =\frac{3}{2}$

$x=\frac{\sqrt{6} }{2}$

x1=$\frac{\sqrt{6} }{2}$, x2= -$\frac{\sqrt{6} }{2}$

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$3x^{2} =7$

$x^{2} =\frac{7}{3}$

$x1=\frac{\sqrt{21} }{3}$,$x2=-\frac{\sqrt{21} }{3}$

c) $9x^{2} -10=0$

$9x^{2} =10$

$x^{2} =\frac{10}{9}$

x1=$\frac{\sqrt{10} }{9}$, x2=-$\frac{\sqrt{10} }{9}$

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$25x^{2} -32=0$

$25x^{2} =32$

$x^{2} =\frac{32}{25}$

$x1=\frac{4\sqrt{2} }{5}$,$x2=-\frac{4\sqrt{2} }{5}$

d) $4x^{2} =0,5$

$4x^{2} =\frac{1}{2}$

$x^{2} =\frac{1}{8}$

$x1=\frac{\sqrt{2} }{4}$,$x2=-\frac{\sqrt{2} }{4}$

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$144x^{2} =25$

$x^{2} =\frac{25}{144}$

$x1 =\frac{5}{12}$,$x2 =-\frac{5}{12}$