# (a) Find k and (b) find a second solution for #x^2 - kx + 2 = 0# where one solution is #1 + i#?

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By the way, the "#i# " means imaginary number

By the way, the "

##### 2 Answers

[Assuming

#### Explanation:

In order to answer this question we must assume that

We are told the one root of the equation is

Hence, we know that

a) Equating coefficients

b) The second root of the equation is:

**(a) :** **(b) :** **other root.**

#### Explanation:

**Part (a) :**

Since

satisfy the given eqn.

Hence, sub.ing

**Part (b) :**

Sub.ing **Part (a),** in

Hence, the **other root** is,