If the equation `ax^2+2bx+c=0` and `ax^2+2cx+b=0`, `a!=o`, `b!=c`, have a common too then their...

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If the quadratic equations ax²+2bx+c =0 and ax²+2cx+b=0 have a common root,then show that a+4b+4c=0. If the quadratic equations ax²+2bx+c =0 and ax²+2cx+b=0 have a common root,then show that a+4b+4c=0.
If the roots of the equations ax^2+2bx+c=0 and bx^2-2(√ac)x+b=0 are simultaneously real, then... If the roots of the equations ax^2+2bx+c=0 and bx^2-2(√ac)x+b=0 are simultaneously real, then...
If the roots of the equation `a x^2+2b x+c=0` and `-2sqrt(a c x)+b=0` are simultaneously real, ... If the roots of the equation `a x^2+2b x+c=0` and `-2sqrt(a c x)+b=0` are simultaneously real, ...
If `ax^2+2bx+c=0 and a_1x^2+2b_1x+c_1=0` have commonroot and `a/a_1,b/b_1,c/c_1` are in A.P., sh... If `ax^2+2bx+c=0 and a_1x^2+2b_1x+c_1=0` have commonroot and `a/a_1,b/b_1,c/c_1` are in A.P., sh...
6. Prove that if eq x² + bx +ca =0 and x² + cx +ab=0 have common root other roots satisfy x²+ax+bc=0 6. Prove that if eq x² + bx +ca =0 and x² + cx +ab=0 have common root other roots satisfy x²+ax+bc=0
If a, b, c are in G.P., then the equations ax2 + 2bx + c = 0 and dx2 + 2ex + f = 0 have a common.... If a, b, c are in G.P., then the equations ax2 + 2bx + c = 0 and dx2 + 2ex + f = 0 have a common....
If the zeroes of the quadratic polynomial a x^2+b x+c, c ≠ 0 are equal, then (A) c and a have opp... If the zeroes of the quadratic polynomial a x^2+b x+c, c ≠ 0 are equal, then (A) c and a have opp...
If the equations `x^2 + abx + c=0` and `x^2 + acx + b = 0` have a common root, then their other... If the equations `x^2 + abx + c=0` and `x^2 + acx + b = 0` have a common root, then their other...