1) 5x^3-48x=0
x(5x^2-48)=0
\(\left[ \begin{array}{l}x=0\\5x^2-48=0\end{array} \right.\) \(\left[ \begin{array}{l}x=0\\x=±√48/5\end{array} \right.\)
=>x= 0, ±√48/5
2) 9(2-x)^2-16=0
[3(2-x)]²-4²=0
(6-3x-4)(6-3x+4)=0
=>x=2/3; 10/3
3) x^2-x-6=0
x^2-2x1/2+1/4-25/4=0
(x-1/2)^2-(5/2)^2=0
(x-3)(x+2)=0
=>x=3;-2
4)x^2-6x+9=49
(x-3)²-7²=0
(x-10)(x+4)=0
=>x=10;-4
5) 4x^2-12x+9=81
(2x-3)²-9²=0
(2x-12)(2x+6)=0
=>x=6;-3
6) (2x-1)²=16x²
(2x-1)²-(4x)²=0
(-2x-1)(2x-1)=0
=>x=±1/2;
