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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- 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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- If the cubic 2x^3-9x^2+12 x+k=0 has two equal roots then minimum valu...
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- If z=4+isqrt(7) , then find the value of z^2-4z^2-9z+91.
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- If the quadratic equation4x^2-2(a+c-1)x+a c-b=0(a > b > c) (a...
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- If (a+b)-i(3a+2b)=5+2i , then find a a n d bdot
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- If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 h...
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- Given that x, y in R. Solve: x/(1+2i)+y/(3+2i)=(5+6i)/(8i-1)
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- If the equation |x^2+b x+c|=k has four real roots, then a. b^2-4c > 0...
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- If P(x) is a polynomial with integer coefficients such that for 4 dist...
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- Let x ,y ,z ,t be real numbers x^2+y^2=9, z^2+t^2=4, and xt-y z=6 Th...
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- If a ,b ,c are distinct positive numbers, then the nature of roots of ...
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- If (b^2-4a c)^2(1+4a^2)<64 a^2, a<0 , then maximum value of quadratic ...
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- For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo...
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- Find the number of integal values of x satisfying sqrt(-x^2+10x-16)...
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- If x^(2) +ax - 3x-(a+2) = 0 has real and distinct roots, then minimum ...
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- Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...
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