Question

Determine as Raizes reais das equações incompletas

a) x²-25=0

b)x²-2x=0

c)2x²-200=0

d)4x²-16=0

e) x²+ 25 x = 0

f) x²+ 100 x= 0

Answer 1

A) ×(×-25)
×=0
×-25=
×=25
B)×(×-2)
×=0
×-2=
×=2
C)×(2×-200)
×=0
2×-200=
2×=200
×=200÷2
×=100
D)×(4×-16)
×=0
4×-16=
4×=16
×=16÷4
×=4
E)×(×-25)
×=0
×-25=
×=25
F)×(×-100)
×=0
×-100=
×=100
Espero ter ajudado!!!

Answer 2

a) x² - 25 = 0
x² = 25
x = √25
x = 5

b) x² - 2x = 0
x(x - 2) = 0
x' = 0
x - 2 = 0
x'' = 2
S{0, 2}

c) 2x² - 200 = 0
2x² = 200
x² = 200/2
x² = 100 
x = √100
x = 10

d) 4x² - 16 = 0
4x² = 16
x² = 16/4
x² = 4
x = √4
x = 2




e) x² + 25x = 0
x(x + 25) = 0
x' = 0
x + 25 = 0
x'' = -25
S{0, -25} 

f) x² + 100x = 0
x(x + 100) = 0
x' = 0
x + 100 = 0
x'' = -100
S{0, -100}

Espero ter ajudado!