Question

What values of a and b make this equation true?

Answer 1

- The best way to solve the question is to simplify the left-hand side.

- The solution steps are given below:

`\begin{gathered} (4+√(-49))-2(√((-4^)^2)+√((-324)))=a+bi \\ \\ (4+√(49)*√(-1))-2(√(16)+√(324)√(-1))=a+bi \\ \\ \text{ But }√(-1)=i \\ \\ (4+7i)-2(4+18i)=a+bi \\ 4+7i-8-36i=a+bi \\ -4-29i=a+bi \end{gathered}`

Final Answer

The answer is:

`\begin{gathered} a=-4 \\ b=-29 \end{gathered}`