If the sum of roots of quadratic equation a^2+bx+c =0 is equal to the square of the reciprocal then prove that 2a^2c= a^2b+b^2a

If the sum of roots of quadratic equation a^2+bx+c =0 is equal to the square of the reciprocal then prove that 2a^2c= a^2b+b^2a please answer me fast​

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