Q.

If a and b are two numbers such that a2 + b2 = 7 and a3 + b3 = 10, then

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a

greatest value of a + b is 4

b

least value of |a + b| is 1

c

least value of a + b is 1

d

greatest value of |a + b| is 5

answer is A, B, D.

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Detailed Solution

Let a + b = x, then ab=x272and
a3+b3=10(a+b)33ab(a+b)=10x321x+20=0x=1,4,5

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