1) 4x^2-3x=3(12-x)4x^2 - 3x = 36 - 3x4x^2 = 36x^2 = 9x = ±3
2) 12x^2-5x=3(12-2x)+x12x^2 - 5x = 36 - 6x + x12x^2 = 36x^2 = 3x = ±√3
3) x^2 - 3x = 2(12-x) - xx^2 - 3x = 24 - 2x - xx^2 = 24x = ±√24
4) 9x^2-3x=3(12-x)9x^2 - 3x = 36 - 3x9x^2 = 36x^2 = 4x = ±2
5) -x^2 + 6x = 24-x^2 + 6x - 24 = 0x^2 - 6x + 24 = 0This equation does not have real roots.
1) 4x^2-3x=3(12-x)
4x^2 - 3x = 36 - 3x
4x^2 = 36
x^2 = 9
x = ±3
2) 12x^2-5x=3(12-2x)+x
12x^2 - 5x = 36 - 6x + x
12x^2 = 36
x^2 = 3
x = ±√3
3) x^2 - 3x = 2(12-x) - x
x^2 - 3x = 24 - 2x - x
x^2 = 24
x = ±√24
4) 9x^2-3x=3(12-x)
9x^2 - 3x = 36 - 3x
9x^2 = 36
x^2 = 4
x = ±2
5) -x^2 + 6x = 24
-x^2 + 6x - 24 = 0
x^2 - 6x + 24 = 0
This equation does not have real roots.