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Solve : \(\sqrt{2x^2+1}+\sqrt{x^2-3x+\dfrac{17}{2}}=\sqrt[3]{45+29\sqrt{2}}-\sqrt[3]{40+14\sqrt{2}}\)
Solve : \(3x^2-15=\sqrt{x^2+x+3}-3x\)
Solve : \(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)
Solve :
\(\dfrac{6x-3}{\sqrt{x}-\sqrt{1-x}}=3+2\sqrt{x-x^2}\)
\(x^2+3x+1=\left(x+3\right)\sqrt{x^2+1}\)