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Questions in: Complex number and quadratic equation

Math (11)

Q1: If $4x + i(3x - y) = 3 + i(-6)$, where $... Q2: Express the following in the form of $a ... Q3: Express $(5 - 3i)^3$ in the form $a + ib... Q4: Express $(-\sqrt{3} + \sqrt{-2})(2\sqrt{... Q5: Find the multiplicative inverse of $2 - ... Q6: Express the following in the form $a + i... Q7: Find the conjugate of $\frac{(3 - 2i)(2 ... Q8: If $x + iy = \frac{a + ib}{a - ib}$, pro... Q9: Express the complex number $(5i)(-\frac{... Q10: Express the complex number $i^9 + i^{19}... Q11: Express the complex number $i^{-39}$ in ... Q12: Express the complex number $3(7 + i7) + ... Q13: Express the complex number $(1 - i) - (-... Q14: Express the complex number $(\frac{1}{5}... Q15: Express the complex number $[(\frac{1}{3... Q16: Express the complex number $(1 - i)^4$ i... Q17: Express the complex number $(\frac{1}{3}... Q18: Express the complex number $(-2 - \frac{... Q19: Find the multiplicative inverse of the c... Q20: Find the multiplicative inverse of the c... Q21: Find the multiplicative inverse of the c... Q22: Express the following expression in the ... Q23: Evaluate: $[i^{18} + (\frac{1}{i})^{25}]... Q24: For any two complex numbers $z_1$ and $z... Q25: Reduce $(\frac{1}{1 - 4i} - \frac{2}{1 +... Q26: If $x - iy = \sqrt{\frac{a - ib}{c - id}... Q27: If $z_1 = 2 - i$, $z_2 = 1 + i$, find $|... Q28: If $a + ib = \frac{(x + i)^2}{2x^2 + 1}$... Q29: Let $z_1 = 2 - i$, $z_2 = -2 + i$. Find ... Q30: Find the real numbers $x$ and $y$ if $(x... Q31: Find the modulus of $\frac{1 + i}{1 - i}... Q32: If $(x + iy)^3 = u + iv$, then show that... Q33: If $\alpha$ and $\beta$ are different co... Q34: Find the number of non-zero integral sol... Q35: If $(a + ib)(c + id)(e + if)(g + ih) = A... Q36: If $(\frac{1 + i}{1 - i})^m = 1$, then f...

ID: Class: 11 Subject: Math Topic: Complex number and quadratic equation Type: Subjective

Question:

Express $(5 - 3i)^3$ in the form $a + ib$.

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