both roots of the equation x minus A into x minus B plus x minus b into x minus C + X - C into x minus A is equal to zero
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(X-A) × (X-B)+(X-B) × (X-C) + (X-C) × (X-A) =0
X2-BX-AX+AB+X2-CX-BX+BC+X2-AX-CX+CA=0
3X2-2AX-2BX-2CX+AB+BC+CA=0
3X2-2X(A+B+C)+AB+BC+CA=0
- Sum of the roots =- b/a
=-(-2(A+B+C))/3
=2(A+B+C)/3
- product of the roots=c/a=AB+BC+CA/3
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