Bài 6:Giải phương trình: a 3x(2x-sqrt (x^2+3))=2(1-x^4)

1. **Expand both sides:** * Left side: * Right side: 2. **Rearrange to isolate the radical:** * 3. **Square both sides:** * 4. **Simplify and rearrange into a polynomial equation:** * 5. **Notice that this equation is a quadratic in terms of x²:** * Let y = x² * The equation becomes: 6. **Solve for y using factoring or numerical methods (e.g., the Rational Root Theorem or a graphing calculator).** * One solution is y = 1.7. **Substitute back x² for y and solve for x:** * x² = 1 * x = 1 or x = -18. **Check for extraneous solutions by plugging the solutions back into the original equation.** * x = 1 is a valid solution. * x = -1 is an extraneous solution.Therefore, the solution to the equation is **x = 1**.