Question

ayuda por favor les voy a dar coronita​

Answer 1

Respuesta:

1/6

Explicación paso a paso:

Si se cumple:

$\sqrt[8]{11.61(6^{4} +5^{4})(6^{8} +5^{8} )+5^{16} } =6^{3-2x}$

Determina x:

61=6²+5²

11=6²-5²

Resolución:

$\sqrt[8]{(6^{2} -5^{2} )(6^{2} +5^{2}) (6^{4} +5^{4})(6^{8} +5^{8} )+5^{16} } =6^{3-2x}$

$\sqrt[8]{(6^{4} -5^{4} )(6^{4} +5^{4})(6^{8} +5^{8} )+5^{16} } =6^{3-2x}$

$\sqrt[8]{(6^{8} -5^{8})(6^{8} +5^{8} )+5^{16} } =6^{3-2x}$

$\sqrt[8]{(6^{16} -5^{16})+5^{16} } =6^{3-2x}$

$\sqrt[8]{6^{16} -5^{16}+5^{16} } =6^{3-2x}$

$\sqrt[8]{6^{16}} =6^{3-2x}$

$6^{\frac{16}{6} } =6^{3-2x}$

16/6=3-2x

8/3=3-2x

8=9-6x

-1=-6x

1=6x

x=1/6

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