Question

Решите уравнения 1)2x(5x-7)=2x²-5
2)(x+4)²=4x²+5
3)(x-5)²=3x²-x+14
4)9x(4x-1)=3x-1

Answer 1

1)10x^2-14x=2x^2-5; 8x^2-14x+5=0; D=36; x1=1,25; x2=0,5;

2)x^2+8x+16=4x^2+5;
3x^2-8x-11=0; D=196; x1=-1; x2=22/6=11/3;

3) x^2-10x+25=3x^2-x+14;
2x^2+9x-11x=0; D=169; x1=1; x2=-5,5;

4)36x^2-9x=3x-1;
36x^2-12x+1=0;
(6x-1)^2=0; 6x-1=0; 6x=1; x=1/6