Question

ПОЛНОЕ РЕШЕНИЕ ПОЖАЛУЙСТА!
100^x2-1=10^1-5x​

Answer 1

${100}^{ {x}^{2} - 1} = {10}^{1 - 5x} \\ (10 {}^{2} ) {}^{ {x}^{2} - 1} = {10}^{1 - 5x} \\ {10}^{2 {x}^{2} - 2} = {10}^{1 - 5x} \\ 2 {x}^{2} - 2 = 1 - 5x \\ 2 {x}^{2} + 5x - 3 = 0 \\ D = {5}^{2} - 4 \times 2( - 3) = 25 + 24 = {7}^{2} \\ x_{1} = \frac{ - 5 + 7}{4} = \frac{2}{4} = 0.5 \\ x_{2} = \frac{ - 5 - 7}{4} = \frac{ - 12}{4} = - 3$

Ответ: -3, 0.5