Question

СРОЧНО!!!
решите уравнение:

Answer 1

${5}^{3 - x} = {25}^{x} \\ {5}^{3 - {x}^{2} } = {5}^{2x } \\ 3 - {x}^{2} = 2x \\ 3 - {x}^{2} - 2x = 0 \\ - {x}^{2} - 2x + 3 = 0 \\ {x}^{2} + 2x - 3 = 0 \\ {x}^{2} + 3x - x - 3 = 0 \\ x \times (x + 3) - (x + 3) = 0 \\ (x + 3) \times (x - 1) = 0 \\ x + 3 = 0 \\ x - 1 =0 \\ x = - 3 \\ x = 1$