1) (x-6)^2 - x(x+8) = 2Expanding the left side:x^2 - 12x + 36 - x^2 - 8x = 2-20x + 36 = 2-20x = -34x = 34/20x = 17/10
2) (2y+1)^2 - 4y^2 = 5Expanding the left side:4y^2 + 4y + 1 - 4y^2 = 54y + 1 = 54y = 4y = 1
So the solutions are:1) x = 17/102) y = 1
1) (x-6)^2 - x(x+8) = 2
Expanding the left side:
x^2 - 12x + 36 - x^2 - 8x = 2
-20x + 36 = 2
-20x = -34
x = 34/20
x = 17/10
2) (2y+1)^2 - 4y^2 = 5
Expanding the left side:
4y^2 + 4y + 1 - 4y^2 = 5
4y + 1 = 5
4y = 4
y = 1
So the solutions are:
1) x = 17/10
2) y = 1