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If one root of the equation ax^2+bx+c=0 ...

If one root of the equation `ax^2+bx+c=0` is the square of the other, prove that `b^3+ac^2+a^2c =3abc`.

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MOTION-QUADRATIC EQUATION-EXERCISE -3 (SUBJECTIVE)
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  13. Two roots of a biquadratic x^4-18x^3+ kx^2+ 200x-1984=0 have their pro...

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  14. Suppose a cubic polynomial f(x) = x^3 + px^2 + qx + 72 is divisible by...

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  16. If x be real then find the range of the following rational expressions...

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  19. The least value of the quadratic polynomial, f(x) = (2p^(2) + 1) x^(2)...

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  20. Find all real numbers x such that (x-1/x)^(1/2)+(1-1/x)^(1/2)=x

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