# How do I complete the square if the coefficient of #x^2# is not 1?

Recall that

Example

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To complete the square when the coefficient of ( x^2 ) is not 1, follow these steps:

- Divide the entire equation by the coefficient of ( x^2 ) to make the coefficient of ( x^2 ) equal to 1.
- Rewrite the equation in the form ( x^2 + bx + c ).
- Take half of the coefficient of ( x ) (b/2) and square it to get ( (b/2)^2 ).
- Add ( (b/2)^2 ) to both sides of the equation.
- Rewrite the equation as a perfect square trinomial on the left side.
- Factor the perfect square trinomial and simplify the right side of the equation.
- Solve for x by taking the square root of both sides and isolating x.

This process allows you to rewrite the quadratic equation in vertex form, making it easier to solve by completing the square.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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