Q – 01: DETERMINE AS RAÍZES DAS EQUAÇÕES DO 2° GRAU INCOMPLETA DADAS: a) x2 – 5x = 0 b) x2 – 64 = 0 c) 6x2 = 0 d) x2 + 8x = 0 e) x2 – 144 = 0 f) – 2x2 = 0 g) 2x2 – 10x = 0 h) (x + 9) . (x – 9) = 0
Soluções para a tarefa
Resposta:
a) x' = 0
x" = 5
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b) x ' = -8
x" = 8
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c) x' = x" = 0
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d) x ' = 12
x " = -12
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Explicação passo-a-passo:
a) x2 – 5x = 0
x.(x - 5) = 0
x = 0 ==> x' = 0
x - 5 = 0 ==> x" = 5
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b) x2 – 64 = 0
x2 = 64
x = √64
x ' = -8
x" = 8
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c) 6x2 = 0
x2 = 0/6
x2 = 0
x = √0
x' = x" = 0
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d) x2 + 8x = 0
x(x + 8 ) = 0
se x = 0 ==> x' = 0
Se x + 8 = 0 ==> x = -8
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e) x2 – 144 = 0
x2 = 144
x = √144
x ' = 12
x " = -12
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f) – 2x2 = 0
(-1). (– 2x2 = 0)
2x2 = 0
x2 = 0/2
x2 = 0
x = 0
g) 2x2 – 10x = 0
h) (x + 9) . (x – 9) = 0