If the roots of x^2 – a x + b = 0 are real and differ by a quantity which is less than c ,prove that

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