1.0,5√0,04 + (1/6)√144=0,5*0,2+(1/6)*12=0,1+2=2,12.а) 14x²-9x=0x(14x-9)=0x=0 14x-9=0 14x=9 x=9/14Ответ: 0; 9/14б) 25x²=125x²-1=0(5x-1)(5x+1)=05x-1=0 5x+1=05x=1 5x=-1x=0.2 x=-0.2Ответ: -0,2; 0,2в) 2x²-11x+12=0D=121-4*2*12=121-96=25x₁=
11-5=1.5 4x₂=
11+5=4 4Ответ: 1,5; 4.3.а) x²-2x-12<0x²-2x-12=0D=4+48=52x₁=
2-√52=
2-2√13 =1-√13 2 2x₂=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)≥02x-3≠02x≠3x≠1.5x(x-1)(x+1)(2x-3)≥02x(x-1)(x+1)(x-1.5)≥0x=0 x=1 x=-1 x=1.5 + - + - +------------ -1 ----------- 0 ----------- 1 ---------------- 1.5 -------------\\\\\\\\\\\ \\\\\\\\\\\\ \\\\\\\\\\\\\x∈(-∞; -1]U[0; 1]U(1.5; +∞)