# Is x+sqrty=4 a linear function and explain your reasoning?

Jun 3, 2017

No it is not.

#### Explanation:

We have $x + {\left(y\right)}^{\frac{1}{2}} = 4$

$\implies {\left(y\right)}^{\frac{1}{2}} = 4 - x$

Squaring both sides,

$y = {x}^{2} - 8 x + 16$

Looks like a quadratic polynomial doesn't it ?