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Haylex
@Haylex
January 2020
2
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Qual o valor de x?
4^x − 2^(x+2) + 3 = 0
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Jaquecello
4x-2x-4+3=0
2x=4-3
2x=1
x=2÷1
x=2
0 votes
Thanks 0
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4^x - 2^x +2 + 3 = 0
2^2x - 2^x . 2^2 + 3 = 0
2^x = y
2^2x = y^2
y² - 4y + 3 = 0
y = 2 +- √(-4)² - 4.1.3
2.1
y = 4 +- √16 - 12
2
y = 4 +- √4
2
y = 4 +- 2
2
y1 = 4 + 2 = 3
2
y2 = 4 -2 = 1
2
2^^x = y
2^x = 3 (não serve)
2^x = 1 ⇒ x = 0
S = {0}
2 votes
Thanks 1
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Lista de comentários
2x=4-3
2x=1
x=2÷1
x=2
2^2x - 2^x . 2^2 + 3 = 0
2^x = y
2^2x = y^2
y² - 4y + 3 = 0
y = 2 +- √(-4)² - 4.1.3
2.1
y = 4 +- √16 - 12
2
y = 4 +- √4
2
y = 4 +- 2
2
y1 = 4 + 2 = 3
2
y2 = 4 -2 = 1
2
2^^x = y
2^x = 3 (não serve)
2^x = 1 ⇒ x = 0
S = {0}