Answer: p = 1, q = -2.
- A p = 1, q = -2
- B p = -2, q = 1
- C p = 1, q = 1
- D p = q = 0
Correct answer: A. p = 1, q = -2
Explanation: Sum of roots p+q = -p and product pq = q. From product: q(p-1) = 0. Since p not=0, q=0 or p=1. If q=0: p+0=-p, 2p=0, p=0 contradiction. If p=1: 1+q=-1, q=-2. Check product: 1×(-2)=-2=q. Yes, p=1, q=-2.
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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