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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Find the domain and range of f(x)=sqrt(x^2-4x+6)
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- Prove that |z1+z2|^2=|z1|^2+|z2|^2, ifz1//z2 is purely imaginary.
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- Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.
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- If omega is a cube root of unity, then find the value of the following...
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- If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 th...
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- Let z1,z2, z3, zn be the complex numbers such that |z1|=|z2|=|zn|=1. I...
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- If a ,b , in R such that a+b=1a n d(1-2ab)(a^3+b^3)=12 . The value ...
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- If |z|lt=4 , then find the maximum value of |i z+3-4i|dot
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- Find the range of f(x)=x^2-x-3.
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- If the fraction (x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10)reduces t...
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- The polynomial f(x)=x^4+a x^3+b x^3+c x+d has real coefficients and f(...
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- Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot
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- If the quadratic equation a x^2+b x+c=0(a >0) has sec^2thetaa n dcos e...
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- Find the value of 1+i^2+i^4+i^6++i^(2n)
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- Let x ,y ,z in R such that x+y+z=6a nd x y+y z+z x=7. Then find the...
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- Show that the polynomial x^(4p)+x^(4q+1)+x^(4r+2)+x^(4s+3) is divisibl...
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- if ax^2+bx+c = 0 has imaginary roots and a+c lt b then prove that 4a+...
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- Solve: i x^2-3x-2i=0,
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- Let a ,b ,a n dc be distinct nonzero real numbers such that (1-a^3)/a...
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- Express each one of the following in the standard form a+i bdot (5+...
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