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contexto.140

3 years ago

$\begin{array}{l} 3 x^{2}+5 \sqrt{5} x-10=0 \\ \Rightarrow 3 x^{2}+6 \sqrt{5} x-\sqrt{5} x-10=0 \\ \Rightarrow 3 x(x+2 \sqrt{5})-\sqrt{5}(x+2 \sqrt{5})=0 \\ \Rightarrow(x+2 \sqrt{5})(3 x-\sqrt{5})=0 \\ \Rightarrow x+2 \sqrt{5}=0 \text { or } 3 x-\sqrt{5}=0 \\ \Rightarrow x=-2 \sqrt{5} \text { or } x=\frac{\sqrt{5}}{3} \end{array}$

Hence, and are the roots of the given equation.