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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
7.39 Problems - III

Example:
If x+y = 9 and xy = 18, find the value of x4+y4.
Solution:
Given that,
x+y = 9
Squaring on both sides, we get
(x+y)2 = 92
x2+y2+2xy = 81
x2+y2+2.18 = 81
x2+y2+36 = 81
x2+y2 = 81-36
x2+y2 = 45
Squaring on both sides, we get
(x2+y2)2 = 452
(x2)2+(y2)2+2.x2y2 = 2025
x4+y4 + 2.18.18 = 2025
x4+y4+648 = 2025
x4+y4 = 2025-648
x4+y4 = 1377

Directions: Solve the following problems. Also write at least five examples of your own.
Q 1: If x+y = 14 and xy = 40, find the value of x4+y4.
7286
7186
7486
7386

Q 2: If x+y = 12 and xy = 32, find the value of x4+y4.
4652
4852
4252
4352

Q 3: If x+y = 10 and xy = 16, find the value of x4+y4.
4628
4226
4112
4524

Q 4: If x+y = 13 and xy = 40, find the value of x4+y4.
4751
4721
4731
4761

Q 5: If x+y = 10 and xy = 21, find the value of x4+y4.
2482
None of these
2684
2546

Q 6: If x+y = 12 and xy = 35, find the value of x4+y4.
3426
3026
3246
3626

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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