If the roots of the equation `(c^(2)-ab)x^(3)-2(a^(2)-bc)x+b^(2)-ac=0` | Class 10 Maths | Doubtnut

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If the roots of the equation (c^2-ab)x^2-2(a^2-bc) x+b^2-ac=0 are equal, prove that either a=0... If the roots of the equation (c^2-ab)x^2-2(a^2-bc) x+b^2-ac=0 are equal, prove that either a=0...
If the roots of (c^2-ab) x^2-2(a^2-bc)x+(b^2-ac)=0 are equal, show that a=0 or (a^3+b^3+c^3 )=3abc. If the roots of (c^2-ab) x^2-2(a^2-bc)x+(b^2-ac)=0 are equal, show that a=0 or (a^3+b^3+c^3 )=3abc.
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if c²≠ab and the roots of (c²-ab)x² -2(a²-bc)x+(b²-ac)=0 are equal, then show that a³ + b³ + c³=3abc if c²≠ab and the roots of (c²-ab)x² -2(a²-bc)x+(b²-ac)=0 are equal, then show that a³ + b³ + c³=3abc
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10th Std Maths Ex.3.13(3) If the roots of (a-b)x^2+(b-c)x+(c-a)=0 are real and unequal P.T. b,a,c ar 10th Std Maths Ex.3.13(3) If the roots of (a-b)x^2+(b-c)x+(c-a)=0 are real and unequal P.T. b,a,c ar