Determine o descriminante ^(delta) das equações incompletas do 2º grau
a)X²+3X=O
b)2X²-1=0
c)3y2-y=0
d)y²+2=0
e)-x²+10x=0
f)5y²=10=0
g5x²=0
h)18y²=o
a)X²+3X=O
b)2X²-1=0
c)3y2-y=0
d)y²+2=0
e)-x²+10x=0
f)5y²=10=0
g5x²=0
h)18y²=o
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Resolução!!!
a)
x² + 3x = 0
a = 1, b = 3, c = 0
∆ = b² - 4ac
∆ = 3² - 4 • 1 • 0
∆ = 9 - 0
∆ = 9
b)
2x² - 1 = 0
a = 2, b = 0, c = - 1
∆ = b² - 4ac
∆ = 0² - 4 • 2 • ( - 1 )
∆ = 0 + 8
∆ = 8
c)
3y² - y = 0
a = 3, b = - 1, c = 0
∆ = b² - 4ac
∆ = ( - 1 )² - 4 • 3 • 0
∆ = 1 - 0
∆ = 1
d)
y² + 2 = 0
a = 1, b = 0, c = 2
∆ = b² - 4ac
∆ = 0² - 4 • 1 • 2
∆ = 0 - 8
∆ = - 8
e)
- x² + 10x = 0
a = - 1, b = 10, c = 0
∆ = b² - 4ac
∆ = 10² - 4 • ( - 1 ) • 0
∆ = 100 + 0
∆ = 100
f)
5y² + 10 = 0
a = 5, b = 0, c = 10
∆ = b² - 4ac
∆ = 0² - 4 • 5 • 10
∆ = 0 - 200
∆ = - 200
g)
5x² = 0
a = 5, b = 0, c = 0
∆ = b² - 4ac
∆ = 0² - 4 • 5 • 0
∆ = 0 - 0
∆ = 0
h)
18y² = 0
a = 18, b = 0, c = 0
∆ = b² - 4ac
∆ = 0² - 4 • 18 • 0
∆ = 0 - 0
∆ = 0
Espero ter ajudado!!!