The expression (10 + 5i) / (2 - i) can be simplified to the form x + y*i by multiplying both the numerator and denominator by the complex conjugate of the denominator, which is (2 + i). This process, known as rationalizing the denominator, yields the final result of 3 + 4i. Participants confirmed the correctness of this solution, emphasizing the importance of this technique in complex number calculations.
PREREQUISITESStudents studying complex numbers, mathematics educators, and anyone looking to improve their skills in algebra and complex number manipulation.
Correctomundo! Remember that trick that Tom reminded you of -- you'll use it a lot.Hollysmoke said:I got 3+4i for the answer.