1) √х - 5 = 4√х = 9x = 81
2) √2х + 3 = 3√2х = 02x = 0x = 0
3) √-32 - 9x = 2-32 - 9x = 4-9x = 36x = -4
4) √10 - x = 2√10 = x + 210 = x^2 + 4x + 4x^2 + 4x - 6 = 0
Дискриминант D = 4^2 - 41(-6) = 16 + 24 = 40x = (-4 ± √40) / 2x = (-4 ± 2√10) / 2x = -2 ± √10x = -2 + √10, -2 - √10
1) √х - 5 = 4
√х = 9
x = 81
2) √2х + 3 = 3
√2х = 0
2x = 0
x = 0
3) √-32 - 9x = 2
-32 - 9x = 4
-9x = 36
x = -4
4) √10 - x = 2
√10 = x + 2
10 = x^2 + 4x + 4
x^2 + 4x - 6 = 0
Дискриминант D = 4^2 - 41(-6) = 16 + 24 = 40
x = (-4 ± √40) / 2
x = (-4 ± 2√10) / 2
x = -2 ± √10
x = -2 + √10, -2 - √10