"If the roots of the equation `(c^2-a b)x^2-2(a^2-b c)x+b^2-a c=0`are equal, prove that either `a=0`

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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...
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#if the roots of quad. equation(c^2-ab)x^2-2(a^2-bc)x+b^2-ac=0 are=p.t either a=0 a^3+b^3+c^3=3abc #if the roots of quad. equation(c^2-ab)x^2-2(a^2-bc)x+b^2-ac=0 are=p.t either a=0 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 If the roots of (c^2-ab) x^2-2(a^2-bc)x+(b^2-ac)=0 are equal
If the roots of the equation `(c^(2)-ab)x^(3)-2(a^(2)-bc)x+b^(2)-ac=0` | Class 10 Maths | Doubtnut If the roots of the equation `(c^(2)-ab)x^(3)-2(a^(2)-bc)x+b^(2)-ac=0` | Class 10 Maths | Doubtnut
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
Roots of the equation (c2−ab)x2−2(a2−bc)x+b2−ac=0 are equal, prove that either a =0 or a3+b3+c3=3abc Roots of the equation (c2−ab)x2−2(a2−bc)x+b2−ac=0 are equal, prove that either a =0 or a3+b3+c3=3abc