SOLUTION: Hi! I was trying to solve this problem for quadratic equation: {{{ x^2-2x+5=0}}} but in order to simplify it I get stuck on the part during the equation that looks like this (the +

Question 451301: Hi! I was trying to solve this problem for quadratic equation: but in order to simplify it I get stuck on the part during the equation that looks like this (the + sign in the equation represents the + or - one in the actual equation: . I know that the square root of a negative number is (square root of the number as if it were positive) x i(the square root of - 1). I also know that there will be 2 solutions to this equation. But what do I do after if I need to simplify it as much as possible? Thanks for any help you may give me!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get (this is where you made your mistake).

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Break up the fraction for each case.

or Reduce.

So the solutions are or

For more help with the quadratic formula, see this solver.
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