Calculus Examples

Solve for y 9x^2-y^3-9=0
Step 1
Move all terms not containing to the right side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Add to both sides of the equation.
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Dividing two negative values results in a positive value.
Step 2.2.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Simplify each term.
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Step 2.3.1.1
Move the negative one from the denominator of .
Step 2.3.1.2
Rewrite as .
Step 2.3.1.3
Multiply by .
Step 2.3.1.4
Divide by .
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
Simplify .
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Step 4.1
Factor out of .
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Step 4.1.1
Factor out of .
Step 4.1.2
Factor out of .
Step 4.1.3
Factor out of .
Step 4.2
Rewrite as .
Step 4.3
Since both terms are perfect squares, factor using the difference of squares formula, where and .