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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. |
8 15 17 18 |
17 |
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 |
