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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
7.41 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 =8 , find the value of x4+1/x4.
4352
4358
4354
4356

Q 2: If x - 1/x = 7, find the value of x4+1/x4.
2597
2595
2599
2593

Q 3: If x - 1/x = 6, find the value of x4+1/x4.
1444
1442
1448
1446

Q 4: If x - 1/x = 4, find the value of x4+1/x4.
324
328
322
326

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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