Question

Rezolvati in multimea numerelor reale ecuatia
${2}^{x {}^{2} + x } = {4}^{2x}$
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Answer 1

Răspuns:

Explicație pas cu pas:

2ˣ^²⁺ˣ = 4²ˣ <=>

2ˣ^²⁺ˣ = (2²)²ˣ <=>

2ˣ^²⁺ˣ = 2⁴ˣ  =>

x²+x = 4x =>

x²+x-4x = 0 =>

x²-3x = 0 <=>

x(x-3) = 0 => x₁ = 0 ; x₂ = 3