Math, asked by NandlalSinghRajpoot, 8 months ago

plz help me as fast as you can​

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Answered by nikshay456
1

Answer:

Hope my answer helps you mate :-)

Step-by-step explanation:

a +  \frac{1}{a}  = 2 \\  \\ squaring \:  \: both \: sides \\  \\  {(a +  \frac{1}{a}) }^{2}  = 4 \\  \\ by \: identity \:  {(a + b)}^{2}  =  {a}^{2}  +  {b}^{2}  + 2ab \\  \\  {a}^{2}  +   { \frac{1}{a} }^{2}  + 2 = 4 \\  \\  {a}^{2}  +  { \frac{1}{a} }^{2}  = 2

Now again squaring both sides

 {( {a}^{2} +  { \frac{1}{a} }^{2} )  }^{2}  = 4 \\  \\  {a}^{4}  +   { \frac{1}{a} }^{4}  = 4 - 2 \\  \\  {a}^{4}  +  { \frac{1}{a} }^{4}  = 2

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