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### Grade 8 - Mathematics7.39 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 = 10 and xy = 16, find the value of x4+y4.4524462841124226 Q 2: If x+y = 11 and xy = 24, find the value of x4+y4.4277447741774377 Q 3: If x+y = 13 and xy = 40, find the value of x4+y4.4751476147314721 Q 4: If x+y = 14 and xy = 40, find the value of x4+y4.7186748673867286 Q 5: If x+y = 11 and xy = 18, find the value of x4+y4.6577667763776477 Q 6: If x+y = 10 and xy = 21, find the value of x4+y4.None of these248226842546 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!