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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If the difference between the roots of the equation x^2+""a x""+""1...
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- |z-4| < |z-2| represents the region given by: (a) Re(z) > 0 (b) Re(z) ...
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- Find how many roots of the equations x^4+2x^2-8x+3=0.
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- If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I...
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- How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...
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- The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...
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- Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.
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- The smallest positive integer n for which ((1+i)/(1-i))^n=1 is (a)8...
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- Solve sqrt(3x^2-7x-30)+sqrt(2x^2-7x-5)=x+5.
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- If the cube roots of unity are 1,omega,omega^2, then the roots of the ...
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- If x= (7+4sqrt(3)), prove that x+1//x= 14
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- Prove that the locus of midpoint of line segment intercepted between ...
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- Solve sqrt(5x^2-6x+8)-sqrt(5x^2-6x-7)=1.
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- Show that: sum(r=0)^(n-1)|z1+alpha^r z2|^2=n(|z1|^2+|z2|^2),w h e r e,...
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- Solve sqrt(x^2+4x-21)+sqrt(x^2-x-6)=sqrt(6x^2-5x-39.)
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- If alpha=(z-i)(z+i), show that, when z lies above the real axis, alpha...
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- Solve 4^x+6^x=9^xdot
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- Let x1, x2 are the roots of the quadratic equation x^2+a x+b=0,w h e r...
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- Solve 3^(2x^2-7x+7)=9.
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- Plot the region represented by pi/3lt=a r g((z+1)/(z-1))lt=(2pi)/3 in ...
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