1.
0,5√0,04 + (1/6)√144=0,5*0,2+(1/6)*12=0,1+2=2,1
2.
а) 14x²-9x=0
x(14x-9)=0
x=0 14x-9=0
14x=9
x=9/14
Ответ: 0; 9/14
б) 25x²=1
25x²-1=0
(5x-1)(5x+1)=0
5x-1=0 5x+1=0
5x=1 5x=-1
x=0.2 x=-0.2
Ответ: -0,2; 0,2
в) 2x²-11x+12=0
D=121-4*2*12=121-96=25
x₁=11-5=1.5
4
x₂=11+5=4
4
Ответ: 1,5; 4.
3.
а) x²-2x-12<0<br>x²-2x-12=0
D=4+48=52
x₁=2-√52= 2-2√13 =1-√13
2 2
x₂=1+√13
+ - +
-------------- 1-√13 ---------------- 1+√13 -----------------
\\\\\\\\\\\\\\\\\\\\\
x∈(1-√13; 1+√13)
б) x(x-1)(x+1)≥0
2x-3
{2x-3≠0
{x(x-1)(x+1)(2x-3)≥0
2x-3≠0
2x≠3
x≠1.5
x(x-1)(x+1)(2x-3)≥0
2x(x-1)(x+1)(x-1.5)≥0
x=0 x=1 x=-1 x=1.5
+ - + - +
------------ -1 ----------- 0 ----------- 1 ---------------- 1.5 -------------
\\\\\\\\\\\ \\\\\\\\\\\\ \\\\\\\\\\\\\
x∈(-∞; -1]U[0; 1]U(1.5; +∞)