1) x²- 5x+6 = 0
x = 5± 5²-4.6
2
x= 5± 25-24
2
x= 5± 1
2
x1 = 5 - 1 = 4/2 = 2
2
x2 = 5+1 = 6/2 = 3
2
2) 2x² - 7x + 3 = 0
x = 7²-4.2.3
4
x = 49-24
4
x = 7± 25
4
x= 7±5
4
x1= 12/4 =3
x2 = 2/4 = 1/2
3) -x² + 7x -10 = 0
(-1) (-x²+7x-10) = (-1).0
x² - 7x + 10 = 0
x = 7± 7² - 4.10
2
x = 7± 49-40
2
x = 7±9
2
x = 7±3
2
x1 = 10/2 = 5
x2 = 4/2 = 2
4) x² - 2x +1 = 0
x = 2± 2² - 4.1
2
x = 2± 4-4
2
x = 2± 0
2
x = 2±0
2
x = 2/2 = 1
x1 = 2-0 = 2/2 =1
2
x2 = 2+0 = 2/2 = 1
2
lo mismo xD
5) x² -4x +4 = 0
x = 4± 16-16
2
x = 4/2
x = 2
6 ) 2x-3 = 1- 2x + x²
x² - 4x +4 = 0
x = 4± 16-16
2
x = 4/2 = 2
7) x²+(7-x)² = 25
x² + 49 - 14x + x² = 25
x² - 7x + 12 = 0
x = 7± 49-48
2
x = 7±1
2
x1 = 7+1/2 = 4
x2 = 7-1/2 = 3
8) 7x²+21x-28 = 25
x²+3x - 4 = 0
x = -3 ± 9+16
2
x = -3 ± 5
2
x1 = (-3) + 5 = 2/2 = 1
2
x2 = (-3)-5 = -8/2 = -4
2
9) -x²+4x - 7 = 0
x² - 4x + 7 = 0
x = 4 ± 16-28
2
x = -3 ± -12
2
Respuesta ; sale - raiz de 12 imaginario
10) 18 = 6x+x(x-13)
18 = 6x+x² - 13x
x² - 7x - 18 = 0
x = 7 ± 49+72
2
x = 7 ± 121
2
x = 7± 121
2
x1 = 18/2 = 9
x2 = -4/2 = -2
