Question

2) Aplicando a fórmula de Bhaskara, resolva as seguintes equações do 2°grau
completas:
a) x2 + 7x + 12 = 0
b) x2 + 12x - 13 = 0
c) x2 - 8x + 15 = 0
d) 2x2 - 5x + 2 = 0​

Answer 1

Resposta:

a) x2 + 7x + 12 = 0

delt= 7² -4. 1. 12

delt= 49- 28

delt=1

x=$\frac{-7+- 1}{2}$

x'=-7+1/2= -6/2= -3

x''= -7-1/2= -8/2= -4

b) x2 + 12x - 13 = 0

delt= 12² -4. 1. (-13)

delt= 144+ 52

delt= 196

x=$\frac{-12+-14}{2}$

x'= -12-14/2= -26/2= -13

x''= -12+14/2= 2/2= 1

c) x2 - 8x + 15 = 0

delt= (-8)²-4. 1. 15

delt= 64- 60

delt=4

x=$\frac{8+-2}{2}$

x'= 8-2/2= 6/2= 3

x''= 8+2/2= 10/2= 5

d) 2x2 - 5x + 2 = 0​

delt= (-5)²-4. 2. 2

delt= 25- 16

delt=9

x=$\frac{5+-3}{4}$

x'= 5-3/4= 2/4= 1/2

x''= 5+3/4= 8/4= 2