Question

1) determine o conjunto soluçao das seguintes equaçoes:
a)³√2+√(x-3)=2
b)√13+√12-x=4

Answer 1

Oi
Resoluçao:
a)
$\sqrt[3]{2} + \sqrt{(x-3)} =2 \\ \sqrt{(x-3)} =2- \sqrt[3]{2} \\ ( \sqrt{x-3)} ^{2} =( 2- \sqrt[3]{2}) ^{2} \\ x-3=4-4 \sqrt[3]{2} +( \sqrt[3]{2} )^{2} \\ \sqrt[3]{2} =1,259921.....=1,26... aproximado \\ x-3=4-4(1,26)+( 1,26)^{2} \\ x-3=4-5,04+1,59 \\ x-3=0,55 \\ x=0,55+3 \\ x=3,55.............Resposta$

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b)
$\sqrt{13} + \sqrt{12} -x=4 \\ resolvendo: \\ \sqrt{13} =3,61 \\ \sqrt{12} =3,46 \\ substituindo..na..expressao: \\ 3,61+3,46-x=4 \\ 7,07-x=4 \\ -x=4-7,07 \\ -x=-3,07 \\ x=3,07......Resposta$

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