Решите уравнения:

1) (х-3) ² + (х+4) ² - (х-5) ²=17 х+24;

2) (х+5) ² + (х-2) ² + (х-7) (х+7) = 11 х+80.

1) (х-3) ^2 + (х+4) ^2 - (х-5) ^2=17 х+24

х^2-6 х+9+х^2+8 х+16-х^2+20 х-25=17 х+24

х^2-5 х-36=0

D=25-4*36=169

x1=13+5/2=8

x2=13-5/2=4

2) (x+5) ^2 + (x-2) ^2 + (x-7) (x+7) = 11x+80

x^2+10x+25+x^2-4x+4+x^2-49=11x+80

3x^2-5x-100=0

D=25+1200=1225

x1=35+5/6=20/3

x2=35-5/6=5

1) x^2-6x+9+x^2+8x+16-x^2+10x-25=17x+24;

x^2+2x+25-25+10x=17x+24;

x^2+12x=17x+24;

x^2-5x-24=0;

D=121; x1=8; x2=-3;

2) x^2+10x+25+x^2-4x+4+x^2-49=11x+80;

3x^2+6x-20=11x+80;

3x^2-5x-100=0;

D=1225; x1=5+35/6=40/6=20/3;

x2=-30/6=-5;