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If the quadratic equations x^2+bx+ca=0 &...

If the quadratic equations `x^2+bx+ca=0 & x^2+cx+ab=0` (where `a!= 0`) have a common root. prove that the equation containing their other root is `x^2+ax+bc=0`

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MOTION-QUADRATIC EQUATION-EXERCISE -3 (SUBJECTIVE)
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  2. lf the quadratic equations x^2+bx+c=0 and bx^2+cx+1=0 have a common r...

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  7. Let alpha+ibeta,alpha, beta epsilon R, be a root of the equation x^(3)...

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  8. Let alpha,beta,gamma are the roots of the cubic x^3-3x^2+1=0 .Find a c...

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  9. Two roots of a biquadratic x^4-18x^3+ kx^2+ 200x-1984=0 have their pro...

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

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  20. Find all the values of the parameters c for which the inequality has a...

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