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Solve the following equations x^2-2x+3/2...

Solve the following equations `x^2-2x+3/2=0`

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V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Convert the following in to the polar form (1+7i)/(2-i)^2

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  2. Solve the following equations 3x^2-4x+20/3=0

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  3. Solve the following equations x^2-2x+3/2=0

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  4. Solve 27 x^(2)-10 x+1=0

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  5. Solve the equation 21x^2-28x+10=0

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  6. If (z)(1)=2-i, (z)(2)=1+i, find |((z)(1)+(z)(2)+1)/((z)(1)-(z)(2)+1)|

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  7. If a+ib=(x+i)^2/(2x^2+1), prove that a^2+b^2=(x^2+1)^2/(2x^2+1)^2

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  8. Let z1=2-i, z2=-2+i. Find Re((z1z2)/overlinez1)

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  9. Find the modulus and argument of the complex number (1+2i)/(1-3i)

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  10. Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of - 6 ...

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  11. Find the modulus of (1+i)/(1-i) - (1-i)/(1+i)

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  12. If (x+iy)^3 = u + iv, then show that u/x+v/y=4(x^2-y^2)

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  13. If alpha and beta are different complex numbers with absbeta = 1, then...

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  14. Find the number of non zero integral solutions of the equation abs(1-i...

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  15. If (a+ib) (c+id) (e+if) (g+ih) = A+iB, then show that (a^2+b^2) (c^2+d...

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  16. If ((1+i)/(1-i))^m = 1 then find the least integral value of m

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  17. Show that a real value of 'x' will satisfy the equation (1- ix )/(1+i...

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  18. Find the modulus of the following complex numbers i) 1+i tan alpha i...

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  19. Show that the images of the given complex numbers 3+2 i , 5 i,-3+2 ian...

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  20. Given that for any complex number z, absz^2 = zoverlinez . Prove that ...

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