1) (x-6)^2 - x(x+8) = Expanding the left sidex^2 - 12x + 36 - x^2 - 8x = -20x + 36 = -20x = -3x = 34/2x = 17/10
2) (2y+1)^2 - 4y^2 = Expanding the left side4y^2 + 4y + 1 - 4y^2 = 4y + 1 = 4y = y = 1
So the solutions are1) x = 17/12) y = 1
1) (x-6)^2 - x(x+8) =
Expanding the left side
x^2 - 12x + 36 - x^2 - 8x =
-20x + 36 =
-20x = -3
x = 34/2
x = 17/10
2) (2y+1)^2 - 4y^2 =
Expanding the left side
4y^2 + 4y + 1 - 4y^2 =
4y + 1 =
4y =
y = 1
So the solutions are
1) x = 17/1
2) y = 1