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Q: Find a2 + b2 = (a+b) = 25 and ab = 150. Also find a3+b3
Find x + 1/x
A. 4125 B. 2375
C. 4375 D. 4374

Answer and Explanation

Answer:4375

Explanation:
a2 + b2 = (a + b)2 – 2ab
∴a2 + b2 = 625 – 300 = 325
a3 + b3 = (a + b)3 – 3ab(a + b)
∴a3 + b3 = 15625 – 450(25)
a3 + b3 = 15625 – 11250 = 4375

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