The roots of y in the equation y^2-2y=-9/2 are

Simplify y^2y to y^3

Y^3=9/2

Take the cube root of both sides

Y=3 (9/2)

Use the divisions distributive property

Y=^3 (9) / 3 (2)

Rewrite 9 as 3^2

Y=3 (3^2) / (3 (2)

Use this rule (x^a) ^b=^ab

Y=3 (2/3) / 3/2