SOLUTION: Can you please help me solve this equation. {{{x^2-2x-13=0}}}

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Question 200198This question is from textbook Mathematics in Our World
: Can you please help me solve this equation.
This question is from textbook Mathematics in Our World

Found 2 solutions by jim_thompson5910, checkley77:
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


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

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
x^2-2x-13=0
Using the quadratic equation: We get:
x=(2+-sqrt[-2^2-4*1*-13])/2*1
x=(2+-sqrt[4+52)/2
x=(2+-sqrt56)/2
x=(2+-7.48)/2
x=(2+7.48)/2
x=9.48/2
x=4.74 ans.
x=(2-9.48)/2
x=-7.48/2
x=-3/74 ans.

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