Question

Please solve for y, with steps. Thank you

Answer 1

Answer:

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.

$y=\sqrt{1-x^2}+\sqrt{3}{x^2}$

(2)Table:

  x               y

 -0.775      1.344

    0              1

    0.775     1.344

(3) Graph is attached in the attachment.