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** Step-by-step Solution **

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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-\sqrt{6}x+\sqrt{3}+3$ from both sides of the equation

Learn how to solve equations with square roots problems step by step online.

$x^2=-\left(-\sqrt{6}x+\sqrt{3}+3\right)$

Learn how to solve equations with square roots problems step by step online. Solve the equation with radicals 3^1/2+x^2-6^1/2x+3=0. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -\sqrt{6}x+\sqrt{3}+3 from both sides of the equation. Simplify the product -(-\sqrt{6}x+\sqrt{3}+3). Move everything to the left hand side of the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-\sqrt{6} and c=4.732051. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

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