1) (2x - X)^2 = 0(2x - X)(2x - X) = 04x^2 - 2x - 2x + X^2 = 04x^2 - 4x = 04x(x - 1) = 0x = 0, x = 1
2) x^2 + 5x = 0x(x + 5) = 0x = 0, x = -5
3) x^2 - 16 = 0(x + 4)(x - 4) = 0x = -4, x = 4
4) 9x^2 - 5 = 09x^2 = 5x^2 = 5/9x = ±√(5/9)x = ±√5/3
5) 2x^2 + 7 = 02x^2 = -7x^2 = -7/2 (no real solutions)
1) (2x - X)^2 = 0
(2x - X)(2x - X) = 0
4x^2 - 2x - 2x + X^2 = 0
4x^2 - 4x = 0
4x(x - 1) = 0
x = 0, x = 1
2) x^2 + 5x = 0
x(x + 5) = 0
x = 0, x = -5
3) x^2 - 16 = 0
(x + 4)(x - 4) = 0
x = -4, x = 4
4) 9x^2 - 5 = 0
9x^2 = 5
x^2 = 5/9
x = ±√(5/9)
x = ±√5/3
5) 2x^2 + 7 = 0
2x^2 = -7
x^2 = -7/2 (no real solutions)