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x=\frac{-4+2\sqrt{13}}{3}
Factor 52=2^{2}\times 13. Rewrite the square root of the product \sqrt{2^{2}\times 13} as the product of square roots \sqrt{2^{2}}\sqrt{13}. Take the square root of 2^{2}.
x=-\frac{4}{3}+\frac{2}{3}\sqrt{13}
Divide each term of -4+2\sqrt{13} by 3 to get -\frac{4}{3}+\frac{2}{3}\sqrt{13}.