If x + 1/x = 5, find the values of each of the following:X(i) x2 +1/x2

1.	If x + 1/x = 5, find the values of each of the following:X(i) x2 +1/x2(ii) x4 +1/x4
Answer» ANSWER: X+1/x=5 squaring on both SIDES ( x+1/x) ^2 =5^2 x^2+(1/x) ^2+2(x) (1/x) =25 x2+1/x2=25-2 =23 nw again squaring x4 +1/x4 +2X21/x2=2323 x4+1/x4=529-2=527

If x + 1/x = 5, find the values of each of the following:X(i) x2 +1/x2(ii) x4 +1/x4

Answer»

ANSWER:

X+1/x=5

squaring on both SIDES

( x+1/x) ^2 =5^2

x^2+(1/x) ^2+2(x) (1/x) =25

x2+1/x2=25-2

=23

nw again squaring

x4 +1/x4 +2X2*1/x2=23*23

x4+1/x4=529-2=527

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If x + 1/x = 5, find the values of each of the following:X(i) x2 +1/x2(ii) x4 +1/x4​

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If x + 1/x = 5, find the values of each of the following:X(i) x2 +1/x2(ii) x4 +1/x4