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If the equations x^2+ax+b=0 and x^2+bx+a...

If the equations `x^2+ax+b=0` and `x^2+bx+a=0` have one common root. Then find the numerical value of a+b.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  7. True or false The equation2x^2+3x+1=0 has an irrational root.

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  8. If z!=0 is a complex number, then prove that R e(z)=0 rArr Im(z^2)=0.

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  9. If l ,m ,n are real and l!=m , then the roots of the equation (l-m)x...

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  10. Let z be a complex number satisfying the equation z^2-(3+i)z+m+2i=0\ ,...

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  11. If x ,y and z are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2x ...

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  15. Column I ...............................................................

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  19. If a ,b ,c are non zero complex numbers of equal modlus and satisfy a ...

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  20. Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then...

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