Răspuns:
[tex]x^2=64^2+32^2\\x^2=(2^6)^2+(2^5)^2\\x^2=2^1^2+2^1^0\\x^2=2^1^0(2^2+1)\\x^2=1024(4+1)\\x^2=1024*5\\x^2=5120\\x1=+\sqrt{5120}=+32\sqrt{5} \\x2=-\sqrt{5120}=-32\sqrt{5}[/tex]
Explicație pas cu pas:
[tex] \large \bf \: {x}^{2} = 64^{2} + 32^{2} [/tex]
[tex]\large \bf \: {x}^{2} = 4096 + 1024[/tex]
[tex]\large \bf \: {x}^{2} = 4096 + 1024[/tex]
[tex]\large \bf \: {x}^{2} = 5120[/tex]
[tex]\large \bf x =\pm \sqrt{5120}[/tex]
[tex]\large \bf x_{1} = - 32\sqrt{5} \: \: si \: \: x_{2} = + 32\sqrt{5}[/tex]
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