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If a x^2+b x+c=0a n db x^2+c x+a=0 have ...

If `a x^2+b x+c=0a n db x^2+c x+a=0` have a common root and a, b, and c are nonzero real numbers, then find the value of `(a^3+b^3+c^3)//a b c`

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MOTION-QUADRATIC EQUATION-EXERCISE -3 (SUBJECTIVE)
  1. If one root of the equation ax^2+bx+c=0 is the square of the other, pr...

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  2. Show that the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)...

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  3. If a x^2+b x+c=0a n db x^2+c x+a=0 have a common root and a, b, and c ...

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  4. lf the quadratic equations x^2+bx+c=0 and bx^2+cx+1=0 have a common r...

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  5. If the quadratic equations x^2+bx+ca=0 & x^2+cx+ab=0 (where a!= 0) ha...

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  6. Solve the equation x^4 + 4x^3 + 5x^2 + 2x-2=0, one root being -1+sqrt...

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  7. If alpha, beta, gamma are the roots of the equation x^3 + px^2 + qx + ...

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  8. If alpha,betaa n dgamma are roots of 2x 63+x^3-7=0 , then find the val...

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

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

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

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

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  13. If g(x)=x^(3)+px^(2)+qx+r where p,q,r are integers. If g(0) and g(-1)...

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

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  15. Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

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  16. Find the range of values of a, such that f(x)=(ax^2+2(a+1)x+9a+4)/(x^2...

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

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

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  19. The minimum value of ((x+1/x)^6-(x^6+1/(x^6))- 2)/((x+1/x)^3+x^3+1/x^...

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  20. Find the product of the real roots of the equation, x^2+18x +30=2sqrt(...

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