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JBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-EXAMPLE
- Write the following in the form a+ib 1/(3+4i)
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- Write the following in the form a+ib (1+i)^2/(3-i)
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- Find the multiplicative inverse of each of the following complex numbe...
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- Find the multiplicative inverse of each of the following complex numbe...
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- Find the multiplicative inverse of: z=cos theta- isintheta.
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- Verify that bar((2+3i)(1-2i))=bar((2+3i)) bar( (1-2i))
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- Find the modulus of the following complex numbers: (3-4i)/(4-31)
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- Find the modulus of the following complex numbers: (2+3i)^2/(1-3i)
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- Find the number of non-zero integral solutions of the equation |1- i|^...
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- If z=x+iy and |z+a|=3|z-a|, show that 2(x^2+y^2)=5ax-2a^2.
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- Solve 2x^2+x+1=0
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- Solve the following equation : 2x^2-(3 +7i)x + (9i-3)=0.
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- Find the modulus and argument of the complex number (1+2 i)/(1- 3i)
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- If (x + iy)^3 = u + iv, then show that u/x +v/y = 4(x^2 - y^2)
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- If x-iy= sqrt((a-ib)/(c-id)) prove that (x^2+y^2)^2= (a^2+b^2)/(c^2+d^...
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- If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that: (a^2+b^2)(c^2+d^2)(e...
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- Find the square root of i.
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- Find the square root of 1+i.
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- Find the squre root of 1+2sqrt(6)i.
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- Convert each of the complex numbers given below in the polar form. Als...
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