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### Grade 8 - Mathematics7.41 Problems - V

 Example: If x - 1/x = 3, find the value of x2+1/x2 and x4+1/x4. Solution: Given that, x - 1/x = 3 Squaring on both sides, we get (x-1/x)2 = 32 x2+1/x2-2.x2.1/x2 = 9 x2+1/x2-2 = 9 x2+1/x2 = 9+2 x2+1/x2 = 11 Squaring on both sides, we get (x2+1/x2)2 = 112 (x2)2+(1/x2)2+2.x2.1/x2 = 121 x4+1/x4+2 = 121 x4+1/x4 = 121-2 x4+1/x4 = 119. Directions: Solve the following problems. Also write at least five examples of your own.
 Q 1: If x - 1/x = 2, find the value of x4+1/x4.34383632 Q 2: If x - 1/x = 7, find the value of x4+1/x4.2599259325952597 Q 3: If x - 1/x = 5, find the value of x4+1/x4.725727723729 Q 4: If x - 1/x = 6, find the value of x4+1/x4.1444144614421448 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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