The solutions to each of the equations are as follows:
1) Y^2 - 121 = 0Y^2 = 121Y = ±11
2) 9y^2 - 16 = 09y^2 = 16y^2 = 16/9y = ±4/3
3) 25x^2 + 4 = 025x^2 = -4x^2 = -4/25x = ±2i/5
4) x^2 + 10x + 25 = 0(x + 5)^2 = 0x = -5
The solutions to each of the equations are as follows:
1) Y^2 - 121 = 0
Y^2 = 121
Y = ±11
2) 9y^2 - 16 = 0
9y^2 = 16
y^2 = 16/9
y = ±4/3
3) 25x^2 + 4 = 0
25x^2 = -4
x^2 = -4/25
x = ±2i/5
4) x^2 + 10x + 25 = 0
(x + 5)^2 = 0
x = -5