Question

4 la puterea x2+1=32x Ma ajuta cineva va rog​

Answer 1

Răspuns:

Explicație pas cu pas:

4˄(x˄2+1) = 32˄x

2˄(2*x˄2+2) = 2˄(5*x)

rezulta 2*x˄2+2=5*x

(2*x-1)*(x-2)=0

x1=1/2 x2=2

Answer 2

4^(x²+1)=32^x

(2²)^(x²+1)=(2⁵)^x

2^(2x²+2) = 2^5x

2x² + 2 = 5x

2x² - 5x + 2 = 0

2x² - x - 4x + 2 = 0

x(2x - 1) - 2(2x - 1) = 0

(x - 2)(2x - 1) = 0

x - 2 = 0 => x₁ = 2

2x - 1 = 0 =>2x = 1 => x₂ = 1/2