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If the sum of the roots of an equation i...

If the sum of the roots of an equation is 2 and the sum of their cubes is 98, then find the equation.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Ifalpha,beta be the roots of x^2-a(x-1)+b=0,then the value of 1/(alpha...

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  2. The equation formed by decreasing each root of ax^(2)+bx+c=0 by 1 is2x...

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  3. If the sum of the roots of an equation is 2 and the sum of their cubes...

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  4. If x is real and (x^2+2x+c)/(x^2+4x+3c) can take all real values, of t...

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  5. Find the range of f(x)=sqrt(x-1)+sqrt(5-xdot)

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  6. If x^2+ax+bc=0 and x^2+bx+ac=0 have a common root, show their other ro...

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  7. Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation wh...

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  8. Find the greatest value of a non-negative real number lambda for which...

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  9. If a ,b ,c in R such that a+b+c=0a n da!=c , then prove that the root...

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  10. Evaluate: i^(135) (-sqrt(-1))^(4n+3),n in N sqrt(-25)+3sqrt(-4)+...

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  11. If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, t...

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  12. If alphaa n dbeta are the roots of ax^2+bx+c=0a n dSn=alpha^n+beta^n,...

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  13. If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...

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  14. If both the roots of x^2-a x+a=0 are greater than 2, then find the val...

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  15. If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then find the interval in...

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  16. Find the values of 'a' which 4^t-(a-4)2^t+9/4alt0,foralltin(1,2)

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  17. Find the number of positive integral values of k for which kx ^(2) +(k...

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  18. If x^2+2ax+a lt 0 AA x in [1, 2] then find set of all possible values ...

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  19. Given that a ,b ,c are distinct real numbers such that expressions a x...

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  20. Find the number of quadratic equations, which are unchanged by squarin...

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