Question

Resolva em as equações.
a) 2x²+7x=0

b) m²-5m=0 c)

c) 3y²-18y=0

d) x²=x

e) 2x²-9x=0


f) 4x²=-3x

Answer 1

a) 2x² + 7x = 0
Δ = 49
x' = 0
x'' = 7/2
S = { 0, 7/2 }

b) m² - 5m = 0
Δ = 25
x' = 5
x'' = 0
S = { 0, 5 }

c) 3y² - 18y = 0
y² - 6y = 0
Δ = 36
x' = 6
x'' = 0
S = { 0, 6 }

d) x² = x
x² - x = 0
Δ = 1
x' = 1
x'' = 0
S = { 0, 1 }

e) 2x² - 9x = 0
Δ = 81
x' = 9/2
x'' = 0
S = { 0, 9/2 }

f) 4x² = -3x
4x² + 3x = 0
Δ = 9
x' = 3/4
x'' = 0
S = { 0, 3/4 }