Question

solve each equation. Write irrational numbers in simplest radical form. Describe the strategy you used to get your solution and tell why you chose that strategy.
1. x^2 + 4 = 0
2. x^2 - 6x + 1 = 0
I think i got number 1. But i need help on question # 2

Answer 1

How did you work out number 1? Just to be sure...
For number two you should use the following algorithm:
You have to reform the equation to an equation in like:
\[ax^2+bx+c=0\]
With a, b and c real numbers.
Then you should determine your determinator
\[D = b^2-4ac\]

And the solutions are:

\[x_{1} = \frac{ -b+\sqrt{D} }{ 2a }\]
\[x_{2} = \frac{ -b-\sqrt{D} }{ 2a }\]