Question

The root of the equation 2(1+i)x²-4(2-i)x-5-3i=0 which has greater modulus is

• A. \( \dfrac{3-5i}{2} \)
• B. \( \dfrac{5-3i}{2} \)
• C. \( \dfrac{3-i}{2} \)
• D. none

Hint:

After finding roots, compare |z| to determine the larger modulus.

Answer 1

The Correct Option is B

Solving the quadratic equation and comparing moduli of the roots, the root with greater modulus is (5-3i)/(2).