2. Solve the equations:
1) \(4 x^{2}-12 x+9=0\)
2) \(x^{2}-\pi^{2}=0\)
3) \(a^{3}-a=0\);
4) \(x^{2}+1+\pi=2 x\)
5) \(x^{2}=\pi^{2}-2 \pi+1\)
6) \(x^{2}+y^{2}-4 x+4=0\).
2. 1) 1.5 ; 2) \(\pi\) or \(-\pi\); 3) 0 or 1 or -1.

4) Solution. Since \(\left(x^{2}+1-2 x\right)+\pi=(x-1)^{2}+\) \(\pi>0\), the equation has no roots.

5) Since \(x^{2}=(\pi-1)^{2}\), the roots of the equation are \(x_{1}=\pi-1\) or \(x_{2}=1-\pi\);
6) \(x=2\) and \(y=0\).