Bilangan Kompleks (Lanjutan)

What are the roots of the equation 5x^2 + 4x + 3 = 0?

• -4 ± 2i√11/10

• -4 ± 2√11i/10

• -4 ± i√14/10

• 4 ± 2i√11/5

• 4 ± 2√11i/5

What is the simplest form of i/(2-5i) + 5?

• 4 - 5i

• 5 - 4i

• 5 - 5i

• 5 - 6i

• 6 - 5i

Given Re(z) - Im(z) = 3 and (Re(z))^2 + (Im(z))^2 = 45, Re(z) > 0, what is Im(z)/Re(z)?

What is the Cartesian form of (3 + 2i + (3 - 2√3)i) / (1 - 3i)?

• 2 - 3i

• 2 + 3i

• -8 + 12i

• 8 + 12i

• 8 - 12i

What is the polar form of z = -6 - 6i?

What is the polar form of the conjugate z = 3/2 * e^(iπ/2)?

The polar form of the conjugate of z = 3/2 e^(iπ/2) is ....

• z = 3/2 e^(-iπ/2)

• z = 3/2 e^(-iπ/2)

• z = 3/2 e^(iπ/2)

• z = 3/2 e^(iπ/2)

• z = 3/2 e^(-iπ/2)

The result of (5 + 7i) - (3i - 4) is ....

• 9 + 4i

• 2 + 11i

• 1 + 4i

• 2 + 3i

• 9 + 10i

Given complex numbers w and z, where w = 5a + bi and z = b + 6ai, the result of w + z = 2 + 3i and w - z is ....

• -2 + 3i

• 2 - 3i

• -2 - 3i

• 8 + 9i

• 8 - 9i

Given z1 = x + 2yi and z2 = 5 - xi, if z3 = -4y - 7i and z1 + z2 = z3, the value of x + y is ....