If a = 4 - √15, find a^4 +1\a^4 Hey! Please answer

Ответ:

jslaughter3

02.09.2021

$(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\$

Step-by-step explanation:

$a=4-\sqrt{15}$

$a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\$

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Ответ:

xojade

16.07.2021

Mathematics

To multiply a rational number(fraction), you multiply across the numerators and denominators. For example: $\frac{A}{B}$ × $\frac{X}{Y}$ = $\frac{AX}{BY}$ or if $\frac{3}{5}$ × $\frac{3}{6}$ = $\frac{9}{30}$ which you need to reduce by 3 since it is a common multiple $\frac{9}{30} = \frac{3}{10}$

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If a = 4 - √15, find a^4 +1\a^4 Hey! Please answer this question with steps. I will mark you brainliest.

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If a = 4 - √15, find a^4 +1\a^4 Hey! Please answer this question with steps. I will mark you brainliest. Random answers like 'sdfgh' or wrong answers will be reported

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If a = 4 - √15, find a^4 +1\a^4 Hey! Please answer this question with steps. I will mark you brainliest.

Random answers like 'sdfgh' or wrong answers will be reported