Tổng hợp phương trình

1. $7x^2-10x+14=5\sqrt{x^4+4}$
2. $x^3-15x^2+78x-141=5\sqrt[3]{2x-9}$
3.  $x^3+3x^2-3\sqrt[3]{3x+5}=1-3x$
4. $(x+1)\sqrt{x^2-2x+3}=x^2+1$
5. $2x+\dfrac{x-1}{x}=\sqrt{1-\dfrac{1}{x}}+3\sqrt{x-\dfrac{1}{x}}$
6. $(*)64x^6-112x^4+56x^2-7=2\sqrt{1-x^2}$
7.  $x^2-4x+2=\sqrt{x-2}$
8. $x^2-4x+6=\sqrt{2x^2-5x+3}+\sqrt{-3x^2+9x+5}$
9. $2x^2+4x=\sqrt{\dfrac{x+3}{2}} (x\ge -1)$
10. $2\left(x^2-3x+2\right)=3\sqrt{x^3+8}$
11. $\sqrt{x^2+15}=3\sqrt[3]{x}-2+\sqrt{x^2+8}$
12. $x^3-3\sqrt{3}x^2-3x+\sqrt{3}=0$
13. $(x+4)^4-2(2x+13)^3=50(2x+13)$
14. $\dfrac{x+1}{x^2+2x}+\dfrac{x+6}{x^2+12x+35}=\dfrac{x+2}{x^2+4x+3}+\dfrac{x+5}{x^2+10x+24}$
15. $\sqrt{\dfrac{1}{2}-x\sqrt{1-x^2}}=1-2x^2$