Question

if x+1/x=6 find x^2+1/x^2​

Answer 1

Answer:

26

Step-by-step explanation:

x+1\x=6

x+1=6x

x=1\5

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

=(1\25)+1\(1\25)=(26\25)\(1\25)

=(26\25)x(25\1)=26

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Answer 2

solution:-

=> x + 1/x = 6

we use formula

( a + b )² = a² + 2ab + b²

so now

squaring both side

=> ( x + 1/x )² = (6)²

=> x² + 2 × x × 1/x + (1/x)² = 36

=> x² + 2 + 1/x² = 36

=> x² + 1/x² = 36 - 2

=> x² + 1/x² = 34

i hope it helps you.