Solving quadratic equations ( finding the value of x)

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To solve for x in a quadratic equation, several methods can be employed, including factoring, completing the square, and using the quadratic formula. Completing the square is a reliable technique, while the quadratic formula is universally applicable for any quadratic equation. It's important to remember the quadratic formula for situations where other methods may not be straightforward. Each method has its own advantages, and understanding them can enhance problem-solving skills. Mastering these techniques is essential for effectively tackling quadratic equations.
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Homework Statement



I just need some guidance regarding how to work out the value of x in the quadratic equation. I don't want you guys to do the work for me, I just want to know how to figure it out.
Thanks

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The Attempt at a Solution

 
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This should probably be in the Precalculus forum...

For a given quadratic equation, you can solve for the variable by completing the square. Do you need more details than that?
 
1) Factor if you can.

2) Complete the square

3) Use the quadratic formula.
 
Remembering the quadratic formula is useful anyway, because it always works. Even if you think that you should be able to solve it using one of the other methods, but you really don't see it, you can always revert to writing down the quadratic formula and just plugging in the numbers.
 

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