Question

VALENDO TODO OS MEUS PONTOS!
responda: (√3+√2)ELEVADO A X +(√3-√2)ELEVADO A X = 2√3
ME AJUDEM!!!!!!!!!
ME DANDO O CALCULO!POR FAVOR! VALE NOTA!

Answer 1

Resposta:

$x=1$

Explicação passo-a-passo:

$(\sqrt{3} +\sqrt{2} )^x+(\sqrt{3} -\sqrt{2} )^x=2\sqrt{3}$

$(\sqrt{3} )^x+(\sqrt{2} )^x+(\sqrt{3} )^x-(\sqrt{2} )^x=2\sqrt{3}$

$2(\sqrt{3} )^x=2\sqrt{3}$

$(2\sqrt{3} )^x=(2\sqrt{3})^1$

$x=1$

Answer 2

Oie, Td Bom?!

$( \sqrt{3} + \sqrt{2} ) {}^{x} + ( \sqrt{3} - \sqrt{2} ) {}^{x} = 2 \sqrt{3}$

$\sqrt{3} {}^{x} + \sqrt{2} {}^{x} + \sqrt{3} {}^{x} - \sqrt{2} {}^{x} = 2 \sqrt{3}$

$\sqrt{3} {}^{x} + \sqrt{3} {}^{x} = 2 \sqrt{3}$

$2 \: . \: \sqrt{3} {}^{x} = 2 \sqrt{3}$

$2 \: . \: \sqrt{3} {}^{x} \div 2 = 2 \sqrt{3} \div 2$

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

$\sqrt{3} {}^{x} = \sqrt{3} {}^{1}$

$x = 1$

Att. Makaveli1996