Question

Решите систему уравнений

-x^2-10x+1 меньше или равно 1-4x
x^2+2x-44 меньше или равно 4x+4

Answer 1

$left { {{-x^2-10x+1 leq 1-4x,} atop {x^2+2x-44 leq 4x+4;}} right. left { {{-x^2-6x leq0,} atop {x^2-2x-48 leq 0;}} right. \ -x^2-6x=0, \ -x(x+6)=0, \ x_1=0, x+6=0, x_2=-6; \ x^2-2x-48 =0, \ D_{/4}=49, \ x_1=-6, x_2=8; \ left { {{-(x+6)x leq0,} atop {(x+6)(x-8) leq 0;}} right. left { {{(x+6)x geq 0,} atop {(x+6)(x-8) leq 0;}} right. left { {{ left [ {{x leq -6,} atop {x geq 0;}} right. } atop {-6 leq x leq 8;}} right. \ xin{6}cup[0;8].$