Write as a Function of x x^2+5y=2

$x^{2} + 5 y = 2$

Step 1

Subtract $x^{2}$ from both sides of the equation.

$5 y = 2 - x^{2}$

Step 2

Divide each term in $5 y = 2 - x^{2}$ by $5$ and simplify.

Divide each term in $5 y = 2 - x^{2}$ by $5$ .

$\frac{5 y}{5} = \frac{2}{5} + \frac{- x^{2}}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{2}{5} + \frac{- x^{2}}{5}$

Divide $y$ by $1$ .

$y = \frac{2}{5} + \frac{- x^{2}}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{2}{5} - \frac{x^{2}}{5}$

Step 3

To rewrite as a function of $x$ , write the equation so that $y$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

$f (x) = \frac{2}{5} - \frac{x^{2}}{5}$

Write as a Function of x x^2+5y=2

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