1) 4x^2 + 60x - 400 = 04(x^2 + 15x - 100) = 04(x + 20)(x - 5) = 0x = -20, x = 5
2) 3x^2 + 2x - 8 = 0(3x - 4)(x + 2) = 0x = 4/3, x = -2
3) 3x^2 - 12x + 12 = 03(x^2 - 4x + 4) = 03(x - 2)^2 = 0x = 2
4) 3x^2 + 1 = 03x^2 = -1x^2 = -1/3x = ±√(-1/3)x = ±i√(1/3)x = ±(i/√3)x = ±i√3/3
1) 4x^2 + 60x - 400 = 0
4(x^2 + 15x - 100) = 0
4(x + 20)(x - 5) = 0
x = -20, x = 5
2) 3x^2 + 2x - 8 = 0
(3x - 4)(x + 2) = 0
x = 4/3, x = -2
3) 3x^2 - 12x + 12 = 0
3(x^2 - 4x + 4) = 0
3(x - 2)^2 = 0
x = 2
4) 3x^2 + 1 = 0
3x^2 = -1
x^2 = -1/3
x = ±√(-1/3)
x = ±i√(1/3)
x = ±(i/√3)
x = ±i√3/3