SOLUTION: Solve each equation. State the number and type of roots. 4. x^2+4=0

Question 186580This question is from textbook alegbra2
: Solve each equation. State the number and type of roots.
4. x^2+4=0 This question is from textbook alegbra2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

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.

or Simplify.

So the answers are or

Note: these solutions are complex (ie non real)
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