SOLUTION: {{{2x^2-(4÷sqrt (13)) x+2sqrt (13) =0}}}

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Question 980749: 2x%5E2-%284%F7sqrt+%2813%29%29+x%2B2sqrt+%2813%29+=0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The dot over dot division symbol stopped the rendering.

2x%5E2-%284%2Fsqrt+%2813%29%29+x%2B2sqrt+%2813%29+=0


First adjust the second term:
%284%2Fsqrt%2813%29%29%28sqrt%2813%29%2Fsqrt%2813%29%29=4%2Asqrt%2813%29%2F13


The original expression is equivalent to
2x%5E2-%284sqrt%2813%29%2F13%29+x%2B2sqrt+%2813%29+=0

x%5E2-2sqrt%2813%29%2F13%2Bsqrt%2813%29=0

Formula for general solution of quadratic equation,
x=%282sqrt%2813%29%2F13%2B-+sqrt%28%284%2A13%2F169%29-4%2Asqrt%2813%29%29%29%2F2

x=%282sqrt%2813%29%2F13%2B-+sqrt%284%2F13-4%2Asqrt%2813%29%29%29%2F2
you might be able to simplify this further, at least

x=sqrt%2813%29%2F13%2B-+sqrt%281%2F13-sqrt%2813%29%29