If a (a + b + c)2 = 2000
b (a + b + c)2 = 675
c (a + b + c)2 = 700,
then, find the value of b² + 8.
Answer & explanation
Correct answer: option 3
Add all the equations.
(a + b + c) (a + b + c)2 = 2000 + 675 + 700 = 3375
(a + b + c)3 = 3375
a + b + c = \(\sqrt[3]{3375}\)
a + b + c = 15
Now,
b (a + b + c)2 = 675
b (15)2 = 675
b = \(\frac{675}{225}\) = 3
⇒ b2 + 8 = 32 + 8 =17