Algebra Examples

Move to the right side of the equation because it does not contain a variable.
Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Find the value of using the formula .
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Multiply by to get .
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Divide by to get .
Multiply by to get .
Find the value of using the formula .
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Simplify each term.
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Multiply by to get .
Raise to the power of to get .
Multiply by to get .
Divide by to get .
Multiply by to get .
Subtract from to get .
Substitute the values of , , and into the vertex form .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Find the value of using the formula .
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Multiply by to get .
Reduce the expression by cancelling the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Divide by to get .
Multiply by to get .
Find the value of using the formula .
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Simplify each term.
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Multiply by to get .
Raise to the power of to get .
Multiply by to get .
Divide by to get .
Multiply by to get .
Subtract from to get .
Substitute the values of , , and into the vertex form .
Substitute for in the equation .
Move to the right side of the equation by adding to both sides.
Add and to get .
Add and to get .
Divide each term by to make the right side equal to .
Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .
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