SOLUTION: I don't have a book. This is a summer assignment. Solve the following eqation {{{ x^2 + 10x - 16 = 0 }}}

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Question 150983: I don't have a book. This is a summer assignment.
Solve the following eqation

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


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 our answers are or


which approximate to or

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