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The value of x which satisfies the equation x + a2 + 2c2 + x + b2 + 2a2 + x + b2 + 2a2 = 0 is b + c c + a a + b
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- (a2 + b2 + c2)
- -(a2 + b2 + c2)
- (a2 + 2b2 + c2)
- -(a2 + b2 + 2c2)
- (a2 + b2 + c2)
Correct Option: B
Of the given options,
x = -(a2 + b2 + c2)
| ∴ | = | ||
| b + c | b + c |
| = | = c – b | |
| b + c |
| = | |||
| c + a | b + c |
| = | = a – c | |
| c + a |
| = | |||
| a + b | b + c |
| = | = b – a | |
| a + b |
∴ c – b + a – c + b – a = 0
