Question 1000699
(sqrt(3)-2)*(5*sqrt(5)-x)=3*sqrt(3)-6
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(5*sqrt(5)-x)=3*(sqrt(3)-2)/(sqrt(3)-2)
(5*sqrt(5)-x) = 3
{{{x^2 - x*10sqrt(5) + 125 = 9}}}
{{{x^2 - x*sqrt(500) + 116 = 0}}}
*[invoke solve_quadratic_equation 1,sqrt(500),116]
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The solver rounds off.
{{{x = -5sqrt(5)+3}}}
{{{x = -5sqrt(5)-3}}}