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If x=a+b i is a complex number such that...

If `x=a+b i` is a complex number such that `x^2=3+4ia d nx^3=2+1i ,w h e r ei=sqrt(-1),t h e n(a+b)` equal to ______.

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The correct Answer is:
3
`x = (x^(3))/(x^(2)) = (2+11i)/(3+4i) xx (3-4i)/(3-4i) = (50+ 25i)/(2+i)`
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CENGAGE-COMPLEX NUMBERS-Exercise (Numerical)
  1. If x=a+b i is a complex number such that x^2=3+4ia d nx^3=2+1i ,w h e ...

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  2. If the complex numbers xa n dy satisfy x^3-y^3=98 ia n dx-y=7i ,t h e ...

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  3. If x=omega-omega^2-2 then , the value of x^4+3x^3+2x^2-11x-6 is (where...

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  4. Let z=9+b i ,w h e r eb is nonzero real and i^2=-1. If the imaginary p...

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  5. Modulus of nonzero complex number z satifying barz + z =0 and |z|^(2)-...

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  6. If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...

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  7. If complex number z(z!=2) satisfies the equation z^2=4z+|z|^2+(16)/(|z...

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  8. The complex number z satisfies z+|z|=2+8i. find the value of |z|-8

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  9. Let |z|=2a n dw-(z+1)/(z-1),w h e r ez ,w , in C (where C is the set ...

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  10. If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of...

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  11. Let 1, omega,omega^(2) be the cube roots of unity. The least possib...

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  12. If omega is the imaginary cube roots of unity, then the number of p...

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

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  14. If |z+2-i|=5 and maxium value of |3z +9-7i| is M, then the value of M ...

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  15. Let Z1 = (8 + i)sin theta + (7 + 4i)cos theta and Z2 = (1 + 8i)sin th...

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  16. 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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  17. Find the minimum value of the expression E= |z|^2+ |z-3|^2 + |z- 6i|^2...

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  18. If z1 lies on |z-3| + |z + 3| = 8 such that arg z1 = pi//6 , ...

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  19. If z satisfies the condition arg(z + i) = (pi)/(4) . Then the ...

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  20. Let omega ne 1 be a complex cube root of unity. If ( 4 + ...

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