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### Grade 8 - Mathematics7.40 Problems - IV

 Example: If x + 1/x = 5, find the value of x2+1/x2 and x4+1/x4. Solution: Given that, x + 1/x = 5 Squaring on both sides, we get (x+1/x)2 = 52 x2+1/x2+2.x2.1/x2 = 25 x2+1/x2+2 = 25 x2+1/x2 = 25-2 x2+1/x2 = 23 Squaring on both sides, we get (x2+1/x2)2 = 232 (x2)2+(1/x2)2+2.x2.1/x2 = 529 x4+1/x4+2 = 529 x4+1/x4 = 529-2 x4+1/x4 = 527. Directions: Solve the following problems. Also write at least five examples of your own.
 Q 1: If x + 1/x = 7, find the value of x4+1/x4.2203220922052207 Q 2: If x + 1/x = 4, find the value of x4+1/x4.194174184164 Q 3: If x + 1/x = 2, find the value of x4+1/x4.2168 Q 4: If x + 1/x = 3, find the value of x4+1/x4.49454347 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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