(х-3)^2+(х+4)^2-(х-5)^2=17х+24

Question

(х-3)^2+(х+4)^2-(х-5)^2=17х+24

Answer 1

(x-3)²+(x+4)²-(x-5)²=17x+24
x²-6x+9+x²+8x+16-(x²-10x+25)=17x+24
x²-6x+9+x²+8x+16-x²+10x-25-17x-24=0
x²-5x-24=0
D=25-4*1*(-24)=25+96=121
        5+11
x1=______=16:2=8
          2
       5-11
x2=_____=-6:2=-3
        2
ответ:-3;8