Question

Rezolvati ecuatiile!!!​

Answer 1

Explicație pas cu pas:

D.)

$4 ^{x + 2 } = 2^{x^{2} + 5} \\ 2^{2x + 4 } = 2^{x {}^{2}+ 5} \\ 2x + 4 = x {}^{2} + 5 \\ 2x + 4 - x {}^{2} - 5 = 0 \\ 2x - 1 - x {}^{2} = 0 \\ - (x {}^{2} - 2x + 1) = 0 \\ - (x - 1) {}^{2} = 0 \\ (x - 1) {}^{2} = 0 \\ x - 1 = 0 \\ x = 1$