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[tex]\bf\:(a)\:\:x^{2} = 5 \implies x_{1} = -\sqrt{5} \:\:si \:\:x_{2} = \sqrt{5}[/tex]
[tex]\bf\:(b)\:\:t^{2} = \dfrac{1}{2} =\sqrt{\dfrac{1}{2}} =\dfrac{1}{\sqrt{2}} \implies t_{1} = -\dfrac{\sqrt{2}}{2} \:\:si \:\:t_{2} =\dfrac{\sqrt{2}}{2}[/tex]
[tex]\bf\:(c)\:\:2\cdot x^{2} = 0 \implies x^{2} = 0\implies x = 0[/tex]
[tex]\bf\:(d)\:\:12x^{2}+7 = \dfrac{25}{3}\:\:\:\Big|\cdot 3[/tex]
[tex]\bf 36x^{2}+21 = 25[/tex]
[tex]\bf 36x^{2} = 25 -21[/tex]
[tex]\bf 36x^{2} = 4\:\:\:\Big|:4[/tex]
[tex]\bf 9x^{2} =1\implies x^{2} = \dfrac{1}{9}\implies x_{1} = \sqrt{\dfrac{1}{9}}= \dfrac{1}{3}\:\:\:si \:\:\:x_{2} = -\dfrac{1}{3}[/tex]
[tex]\bf\:(e)\:\:x^{2}+3^{3} = (-2)^{4}[/tex]
[tex]\bf x^{2}+27 = 2^{4}[/tex]
[tex]\bf x^{2}+27 = 16[/tex]
[tex]\bf x^{2} = 16 -27[/tex]
[tex]\bf x^{2} = - 11 \implies x \in \not0[/tex]
[tex]\bf\:(f)\:\:\dfrac{1}{2} x^{2}+\dfrac{3}{2} = \dfrac{16-1}{9}[/tex]
[tex]\bf \dfrac{1}{2} x^{2}+\dfrac{3}{2} = \dfrac{5}{3}\:\:\:\Big|\cdot 6[/tex]
[tex]\bf 3x^{2}+9 = 10[/tex]
[tex]\bf 3x^{2} = 10-9[/tex]
[tex]\bf 3x^{2} = 1[/tex]
[tex]\bf x^{2} = \dfrac{1}{3}\implies x_{1}=-\dfrac{\sqrt{3} }{3}\:\:\:si\:\:\: x_{2}=\dfrac{\sqrt{3} }{3}[/tex]
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