Question

Please solve for y, with steps. Thank you

Answer 1

We have been given an equation

(1)
`x^2+(y-\sqrt[3]{x^2})^2=1`

On simplification by shifting
`x^2` on right hand side of the given equation.

`(y-\sqrt[3]{x^2})^2=1-x^2`

Further simplification removing root from left will lead to whole square on right hand side of the equation.

`y=√(1-x^2)+√(3){x^2}`

(2)Table:

x y

-0.775 1.344

0 1

0.775 1.344

(3) Graph is attached in the attachment.