это Надо решить примеры через теорему Виета.

 x^2=8x-17

 x^2-8x+17=0

Д=(-8)^2-4*17=64-68 <0

14x=-49-x^2

X^2+14x+49=0

D=14^2-4*49=196-196=0

x=-14/2=-7

36+17x=-2x^2

2x^2+17x+36=0

D=17^2-4*2*36=289-288=1

x1=-17+1/4=-16/4=-4

x2=-17-1/4=-18/4

7x^2-3x=4

7x^2-3x-4=0

D=-3^2+4*7*4=9+112=121=11^2

x1=3+11/14=1

x2=3-11/14=-8/14

 0.81-x^2=0

-x^2=-0.81

x^2=0.81

x=+-0.9

 5x+9x^2=0

9x^2+5x=0

x(9x+5)=0

x=0  9x=-5

          x=-5/9

1+2x=8x^2

-8x^2+2x+1=0

D=2^2+4*8=4+32=36=6^2

x1=-2+6/-16=-1/4

x2=-2-6/-16=1/2

19x-6x^2-10=0

-6x^2+19x-10=0

D=19^2-4*6*10=361-240=121=11^2

x1=-19+11/-12=-8/-12=2/3

x2=-19-11/-12=2.5

8+2x^2=0 

2x^2=-8

x^2=-4 нет корней

40x-25-16x^2=0 

-16x^2+40x-25=0

D=40^2-4*16*25=1600-1600=0

x=-40/-32=10/8=5/4

-36-x^2=-12x

-x^2+12x-36=0

D=12^2-4*36=144144=0

x=-12/-2=6

x^2-8x+17=0 => D=64-4*17 = Р Н 

4x=-49-x^2 => x^2+4x+49=0 => D=16-4*49=Р Н

36+17x=2x^2 => 2x^2+17x+36=0 =>D=289-288=1 => x1=-9/2 => x2=-4

7x^2-3x=4 = > D9-4*7*(-4)=121 => x1=1 => x2=-9/14

x^2=81 = > x=+-9

5x+9x^2=0 => x(5+9x)=0 =>x=0 или x=-5/9

1+2x=8x^2 => 8x^2-2x-1=0 => D=4-4*8*(-1)=36 => x1=1/2 => x2=-1/4

19x-6x^2-10=0 =>6x^2-19x+10=0 =>D=361-4*6*10=121 =>x1=30/38 => x2=8/38

8+2x^2=0 => 2x^2=-8 => x^2=-4 => x=Р Н

40x-25x^2+12x=0 => 28-25x^2=0 =>x(28-25x)=0 => x=0 или 25x=28 => x=28/25