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Let A={a in R} the equation (1+2i)x^3-2...

Let `A={a in R}` the equation `(1+2i)x^3-2(3+i)x^2+(5-4i)x+a^2=0` has at least one real root. Then the value of `(suma^2)/2` is_______.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. For a<0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  3. Let A={a in R} the equation (1+2i)x^3-2(3+i)x^2+(5-4i)x+a^2=0 has at ...

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  4. Express the following in a+i b form: ((cosalpha+isinalpha)^4)/((sinbe...

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  5. Find the root of equation 2x^2+10 x + 20=0.

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  6. Suppose that z is a complex number the satisfies |z-2-2i|lt=1. The max...

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  7. If 1//x+x=2costheta , then prove that x^n+1//x^n=2cosnthetadot

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

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  9. Find the roots of the equation 2x^2 - x + 1/8 = 0

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  10. If |z +2 - i|=5 then the maximum value of |3z+9-7i| is K, then find k

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  11. If x^2+3x+5=0a n da x^2+b x+c=0 have common root/roots and a ,b ,c in ...

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  14. If alpha!=betaa n dalpha^2=5alpha-3a n dbeta^2=5beta-3. find the equat...

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  15. Express 1/(1-costheta+2isintheta) in the form x+i y .

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  16. a ,b ,c are three complex numbers on the unit circle |z|=1, such that ...

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  18. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...

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  19. If |z1|=15 and |z2-3-4i|=5,t h e n

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  20. Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x...

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