Question

If a3 + b 3 = 35 and ab = 6, then what is the value of a + b?

A) 5 B) 8 C) 2 D) -8

Answer 1

Answer:

5

Step-by-step explanation:

Given: a3+b3=35 and ab=6

we know that the value of (a+b)= x

therefore (a+b)3= a3+b3+3ab(a+b)

substituting (a+b)=x in the above expression we get

(x) a3+b3+3ab(x)

substituting the value of an=6 and a3+b3=35 in the above derived expression

x3=35+3*6(x)

x3=35+18x

x3-18c=35

x(x2-18)=35=5*7

let us take

x=5

and

x2-18=7

x2=18+7

x2=25=5 Answer

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