SOLUTION: An equation in standard form is ax^2+bx+c=0
Solve equation by completing the square and leaving all variables as is. What are the steps to solving this question? The answer should
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Question 527982: An equation in standard form is ax^2+bx+c=0
Solve equation by completing the square and leaving all variables as is. What are the steps to solving this question? The answer should be x=-bħsqrtb^2-4ac
______________
2a
Answer in words: x is equal to negative b plus or minus square root of (b^2-4ac) all right side of equation divided by 2a. Show all steps that change ax^2+bx+c=0 into the answer.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
First, divide both sides by a (so that completing the square will be easier).
Now complete the square:
^2 + C = 0)
where C is some unknown value. If you expand and equate the constant terms, you will find that
Hence,
^2 = -C = \frac{b^2 - 4ac}{4a^2})
, take square root of both sides.
 = \frac{\sqrt{b^2 - 4ac}}{2a})
, the quadratic formula.
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