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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- 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, alph...
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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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- How many solutions does the equation(8^x + 27^x)/(12^x +18^x) = 7/6hav...
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- Is the following computation correct? If not give the correct compu...
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- Consider an equilateral triangle having verticals at point A(2/sqrt3 e...
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- Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...
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- Find the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i...
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- Let z,z(0) be two complex numbers. It is given that abs(z)=1 and the n...
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- Show that the equation a z^3+b z^2+ barb z+ bara =0 has a root alpha ...
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- If nge3and1,alpha(1),alpha(2),alpha(3),...,alpha(n-1) are the n,nth ...
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- Find the maximum and minimum values of the function y=(log)e(3x^4-2x^3...
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- If z^4=(z-1)^4, then the roots are represented in the Argand plane by ...
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- Find the value of k if x^3-12x+k=0 has three real distinct roots.
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- Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locu...
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