Объяснение:

[tex] \sqrt{2x - 9} = \sqrt{6 - x} \\ 2x - 9 = 6 - x \\ 2x + x = 6 + 9 \\ 3x = 15 \\ x = 15 \div 3 \\ x = 5 \\ \sqrt{2 \times 5 - 9} = \sqrt{6 - 5} \\ 1 = 1 \\ x = 5[/tex]

[tex] {5}^{x} + {5}^{x + 1} = 30 \\ (1 + 5) \times {5}^{x} = 30 \\ 6 \times {5}^{x} = 30 \\ {5}^{x} = 5 \\ {5}^{x} = {5}^{1} \\ x = 1[/tex]

Verified answer

Объяснение:

Корень (2х-9)=корень (6-х)

2х-9=6-х

2х+х=6+9

3х=15

Х=15:3

Х=5

^ степень

5^Х+5^(Х+1)=30

5^Х×(1+5)=30

5^Х×6=30

5^Х=30:6

5^Х=5

5^Х=5^1

Х=1