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### Grade 8 - Mathematics7.14 Solving Problems Using Formula for (a+b)2

 Example: If (x+1/x) = 6 find x2+1/x2. Solution: Given that (x+1/x) = 6 . Take square on both sides. (x+1/x)2 = 62 x2 + 2.x.1/x + (1/x)2  = 36 x2 + (1/x)2 = 36-2 x2 + (1/x)2 = 34 Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: If (x+1/x) = 9 find x2+1/x2.998979 Q 2: If (x+1/x) = 21 find x2+1/x2.450441439 Q 3: If (x+1/x) = 4 find x2+1/x2.261416 Q 4: If (x+1/x) = 3 find x2+1/x2.957 Q 5: If (x+1/x) = 7 find x2+1/x2.474959 Q 6: If (x+1/x) = 15 find x2+1/x2.225223216 Q 7: If (x+1/x) = 11 find x2+1/x2.121115119 Q 8: If (x+1/x) = 25 find x2+1/x2.625623630 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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