Question

como resolver a equação: 5p²+30p=0

Answer 1

5p² + 30p = 0 simplificando
p² + 6p = 0 

Bhaskara:
b² -4ac
6² -4.1.0
36 - 0
36 <<Delta

-b +/- √Δ / 2a
-6 +/- √36 / 2.1
-6 +/- 6 / 2

X1= -6 +6/2 = 0/2 = 0
X2 = -6-6 /2 = -12/2 = -6

Answer 2

5p²+30p=0
a = 5
b = 30
c = 0

Δ = b² -4ac
Δ = 30² -4.5.0
Δ = 900 - 0
Δ = 900

x = - b ± √Δ / 2a

x = - 30 ± √ 900 / 2.5

x = - 30 ± 30 / 10

x' = -30 + 30 /10
x' = 0/10
x' = 0

x'' = -30 -30/10
x'' = -60/10
x'' = -6

S = {-6,0}

Bons Estudos!!