SOLUTION: Can you Please help me with this problem. x2-2x-13=0 (x2, the x is squared, can't find the key to square it,)

Question 200192This question is from textbook Mathematics in Our World
: Can you Please help me with this problem.
x2-2x-13=0
(x2, the x is squared, can't find the key to square it,)
This question is from textbook Mathematics in Our World

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: to type , just type in x^2

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

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Break up the fraction.

Reduce.

or Break up the expression.

So the solutions are or

which approximate to or

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