rickeytheliu77 rickeytheliu77

25-04-2021
Mathematics

contestada

Please help me. 4^(x+1)+2^(x+1)+2^x-1=0

Please help me 4x12x12x10 class=

Respuesta :

mhanifa mhanifa

25-04-2021

Answer:

x = -2

Step-by-step explanation:

[tex]4^{x+1}+2^{x+1}+2^x-1=0[/tex]
[tex]4*2^{2x}+2*2^x+2^x-1=0[/tex]

2ˣ = t

4t² + 3t - 1 = 0
4t² + 4t - t - 1 = 0
4t(t + 1) - (t + 1) = 0
(t + 1)(4t - 1) = 0
t = -1 (discounted as 2ˣ can't be negative)
t = 1/4

2ˣ = 1/4
2ˣ = 2⁻²
x = -2

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