Ecuaciones de primer grado

1. x2-16=0
x2 = 16
x = +/- 4
x1 = - 4, x2 = 4
2. x2+3x-10=0
(x + 5)(x - 2) = 0
x + 5 = 0x - 2 = 0
x1 = -5 x2 = 2

3. x2-8x+15=0
(x - 5)(x - 3) = 0
x - 5 = 0 x - 3 = 0
x1 = 5x2 = 3
4. x2-5x=0
x (x - 5) = 0
x = 0 x - 5 = 0
x1 = 0 x2 = 5
5. x2-4x+4=0
(x - 2) (x -2)=0
x – 2=0 x – 2=0
x1 = 2 x2 = 2

6. x2-2x-24=0
(x - 6)(x + 4) = 0
x - 6 = 0 o x + 4 =0
x1 = 6 x2 = - 4
7. 2x2-11x-6=0
4X2-11(2X)-12=0
Z=2X Z2=4X
Z2-11Z-12= (Z-12) (Z+1)=0(Z-12) (Z+1)=0
(2X-12) (2X+1)=0
2X-12=0 2X+1=0

X1=12/2=6 X2=-1/2

8.3x2+2x-1=0
9x+2(3x)-3=0
z=3x z2=9x
z2+2z-3=0
(z+3) (z-1)
(3x+3) (3x-1)=0
3x+3=0 3x-1=0x1=-3/3=-1 x2= 1/3

9. 3x2-7x-6=0
9x-7(3x)-18=0
z=3x z2=9x
z2-7z-18=0
(z-9) (z+2)
(3x-9)(3x+2)=0
3x-9=0 3x+2=0
X1=9/3=3 x2=-2/3

10. 6x2-11x+3=0
36x-11(6x)+18=0
z=6xz2=36x
z2-11z+18=0
(z-9) (z-2)
(6x-9) (6x-2)=0
6x-9=0 6x-2=0
X1=9/6 x2=2/6