Question

1) - x2 - 6x + 27 = 0;

2) - x2 - 97x - 630 = 0;

3) x2 + 12x + 36 = 0;

4) x2 - 3x + 17 = 0;

5) x2 - 36x + 324 = 0;

6) x2 - 58x + 832 = 0;

7) x2 - 16x - 17 = 0;

8) x2 + 15x + 56 = 0.

Решите уравния срочно дам много баллов

Answer 1

Ответ:

1) - x2 - 6x + 27 = 0

x2+6x-27=0

D=36+108=144

x1=(-6+12)/2=3

x2=(-6-12)/2=-9

2) - x2 - 97x - 630 = 0;

x2+97x+630=0

D=97^2-4*630=6889

x1=(-97+83)/2=-7

x2=(-97-83)/2=-90

3) x2 + 12x + 36 = 0

D=12^2-4*36=0

x=-12/2=-6

4) x2 - 3x + 17 = 0;

D=3^2 -4*17=-59

x1=(3+$\sqrt{59i}$)/2=$\frac{3}{2}$+$\frac{1}{2}$$\sqrt{59i}$

x2=(3-$\sqrt{59i}$)/2=$\frac{3}{2}$-$\frac{1}{2}$$\sqrt{59i}$

5) x2 - 36x + 324 = 0;

D=(-36)2 - 4·1·324=0

x=36/2=18

6) x2 - 58x + 832 = 0

D=(-58)2 - 4·1·832=36

x1=(58+6)2=32

x2=(58-6)/2=26

7) x2 - 16x - 17 = 0;

D=(-16)2 - 4·1·(-17)=324

x1=(16+18)/2=17

x2=(16-18)/2=-1

8) x2 + 15x + 56 = 0

D=152 - 4·1·56=1

x1=(-15+1)/2=-7

x2=(-15-1)/2=-8