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If the equations x^2 + bx +ca = 0 and x^2 + cx + ab = 0 have a non-zero common root, prove that a+b+c = 0 and their other root satisfy x^2 + ax + bc = 0 |
| Answer» If the equations x^2 + bx +ca = 0 and x^2 + cx + ab = 0 have a non-zero common root, prove that a+b+c = 0 and their other root satisfy x^2 + ax + bc = 0 | |