If a2 + b2 + c2 = 2(a - b + c) - 3, then find the value of (a - b + c) is? |
0 1 2 3 |
3 |
a2 + b2 + c2 = 2(a - b + c) - 3 (a2 - 2a + 1) + (b2 + 2b + 1) + (c2 -2c + 1) = 0 (a - 1)2 + (b + 1)2 + (c - 1)2 = 0 so, a = 1, b = -1 and c = 1 Then (a - b + c) = 1 - (-1) + 1 = 1 + 1 + 1 = 3 |