1) √(2 - x) = 32 - x = 9x = 2 - 9x = -7
2) 5^x - 3 - 25x = 15^x - 25x = 4
3) log2(2x - 10) = 42x - 10 = 2^42x - 10 = 162x = 26x = 13
4) 2sin^2(x) + sin(x) - 1 = 02(1 - cos^2(x)) + sin(x) - 1 = 02 - 2cos^2(x) + sin(x) - 1 = 0-sin^2(x) + sin(x) - 1 = 0(sin(x) - 1)(-sin(x) - 1) = 0sin(x) = 1 or sin(x) = -1x = π/2 + 2πn, x = 3π/2 + 2πn, где n - целое число.
1) √(2 - x) = 3
2 - x = 9
x = 2 - 9
x = -7
2) 5^x - 3 - 25x = 1
5^x - 25x = 4
3) log2(2x - 10) = 4
2x - 10 = 2^4
2x - 10 = 16
2x = 26
x = 13
4) 2sin^2(x) + sin(x) - 1 = 0
2(1 - cos^2(x)) + sin(x) - 1 = 0
2 - 2cos^2(x) + sin(x) - 1 = 0
-sin^2(x) + sin(x) - 1 = 0
(sin(x) - 1)(-sin(x) - 1) = 0
sin(x) = 1 or sin(x) = -1
x = π/2 + 2πn, x = 3π/2 + 2πn, где n - целое число.