Giải các phương trình và hệ phương trình sau:
a) \( 3{{x}^{2}}-10x+3=0.\)
b) \( \left\{ \begin{align} & 3x+2y=1 \\ & 4x-3y=41 \\ \end{align} \right..\)
c) \( {{x}^{4}}-{{x}^{2}}-12=0.\)
d) \( x-\sqrt{x+1}=1.\)
A.a) \(S=\left\{ \frac{1}{3};\ \ 3 \right\}.\) b) \(\left( x;\ y \right)=\left( 5;-7 \right). \)
c) \(S=\left\{ -2;\ 2 \right\}.\) d) x = 3.
B.a) \(S=\left\{ \frac{2}{3};\ \ 3 \right\}.\) b) \(\left( x;\ y \right)=\left( 5;-7 \right). \)
c) \(S=\left\{ -2;\ 2 \right\}.\) d) x = 3.
C.a) \(S=\left\{ \frac{1}{3};\ \ 3 \right\}.\) b) \(\left( x;\ y \right)=\left( 7;-7 \right). \)
c) \(S=\left\{ -2;\ 2 \right\}.\) d) x = 3.
D.a) \(S=\left\{ \frac{1}{3};\ \ 3 \right\}.\) b) \(\left( x;\ y \right)=\left( 5;-7 \right). \)
c) \(S=\left\{ -4;\ 2 \right\}.\) d) x = 3.