Question

Sa se rezolvare ecuațiile:

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Answer 1

Explicație pas cu pas:

$\bf \sqrt[5]{28 + \sqrt{x - 4} } = 2 \: \: \: \bigg|^{5}$

$\bf 28 + \sqrt{x - 4} = 2^{5}$

$\bf 28 + \sqrt{x - 4} = 32$

$\bf \sqrt{x - 4} = 32 - 28$

$\bf \sqrt{x - 4} = 4 \: \: \: \: \bigg|^{2}$

$\bf x - 4 = 4^{2}$

$\bf x - 4 = 16$

$\bf x= 16 + 4$

$\pink{ \underline{\bf x= 20}}$

==========pav38============

$\bf \sqrt[6]{66 - \sqrt{x - 7} } = 2 \: \: \: \bigg|^{6}$

$\bf 66 - \sqrt{x - 7} = 2^{6}$

$\bf 66 - \sqrt{x - 7}= 64$

$\bf 66 = 64 + \sqrt{x - 7}$

$\bf 66 - 64 = \sqrt{x - 7}$

$\bf 2=\sqrt{x - 7} \: \: \: \: \bigg|^{2}$

$\bf 2^{2} =x - 7$

$\bf 4 =x - 7$

$\bf 4 + 7=x$

$\bf 11=x$

$\purple{ \underline{\bf x = 11}}$

==pav38==

Answer 2

e)$\sqrt[5]{28 + \sqrt{ x - 4 } } = 2 \: \: \: (..) {}^{5}$

$28 + \sqrt{ x - 4 } = 32$

$\sqrt{ x - 4} = 4$

$\sqrt{x - 4 } = 4 \: \: (..) {}^{2}$

$x - 4 =16$

$x = 20$

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f)

$\sqrt[6]{66 - \sqrt{x - 7 } } = 2 \: \: (...) {}^{6}$

$66 - \sqrt{x - 7} = 64$

$66 = 64 + \sqrt{ x - 7}$

$\sqrt{x - 7} = 2 \: \: \: (..) {}^{2}$

$x - 7 = 4$

$x = 11$