[" 3.If the rooss of the equation "],[(vec c^(2)-ab)vec x^(2)-2(a^(2)-bc)x+(b^(2)-ac)=0" are equal,prove "],[" that cituer "a=0" or "a^(3)+b^(3)+c^(3)=3abc]

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 or a^(3)+b^(3)+c^(3)=3abc

If the roots of the equation (c^(2)-ab)x^(3)-2(a^(2)-bc)x+b^(2)-ac=0 are real and equal prove that either a=0 (or) a^(3)+b^(3)+c^(3)=3"abc" .

If the roots of the equation (c^(2)-ab)x^(2)-2(a^(2)-bc)x+b^(2)-ac=0 in x are equal, show that either a=0 or a^(3)+b^(3)+c^(3)=3abc .

If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac)=0 are equal, then show that a^(3)+b^(3)+c^(3)=3abc" or "a=0

If the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ca)x+(c^(2)-ab)=0 are equal then the condition is (i)a+b+c=0(ii)a^(3)+b^(3)+c^(3)-3abc=0 (iii) a=0 or a^(3)+b^(3)+c^(3)-3abc=0 (iv) b=0 or a^(3)+b^(3)+c^(3)-3abc=0

Show that the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)-ab=0 are equal if either b=0 or a^(3)+b^(3)+c^(3)-3acb=0

Show that the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)-ab=0 are equal if either b=0 or a^(3)+b^(3)+c^(3)-3acb=0

Show that the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)-ab=0 are equal if either b=0 or a^(3)+b^(3)+c^(3)-3acb=0