(3x+1)^2 - (3x-1)^2 = 11x + 1.2Expand both sides:(9x^2 + 6x + 1) - (9x^2 - 6x + 1) = 11x + 1.29x^2 + 6x + 1 - 9x^2 + 6x - 1 = 11x + 1.212x = 11x + 1.212x - 11x = 1.2x = 1.2
(5+2y)(y-3) - 2(y-1)^2 = 0Expand both sides:5y - 15 + 2y^2 - 6y - 2y^2 + 4y - 2 = 05y - 15 - 6y + 4y - 2 = 03y - 17 = 03y = 17y = 17/3 = 5.67
Therefore, the solutions to the equations are:
(3x+1)^2 - (3x-1)^2 = 11x + 1.2
Expand both sides:
(9x^2 + 6x + 1) - (9x^2 - 6x + 1) = 11x + 1.2
9x^2 + 6x + 1 - 9x^2 + 6x - 1 = 11x + 1.2
12x = 11x + 1.2
12x - 11x = 1.2
x = 1.2
(5+2y)(y-3) - 2(y-1)^2 = 0
Expand both sides:
5y - 15 + 2y^2 - 6y - 2y^2 + 4y - 2 = 0
5y - 15 - 6y + 4y - 2 = 0
3y - 17 = 0
3y = 17
y = 17/3 = 5.67
Therefore, the solutions to the equations are:
x = 1.2y = 5.67