Question

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​

Answer 1

(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

Answer 2

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