how do you solve for y in the equation 1/y=-0.5x^(-2)-0.5
1/Y = 0.5X^-2 - 0.5.
Take the reciprocal of both sides:
1(1/Y) = 1/0.5X^-2 - 1/0.5,
Y = 2X^2 - 2 = 0,
2X^2 - 2 = 0,
Divide both sides by 2:
X^2 - 1 = 0,
(X + 1)(X - 1) = 0,
X + 1 = 0,
X = -1.
X - 1 = 0,
X = 1.
Solution set: X = -1, X = 1.
Or (-1,0), (1,0).