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Genrish500 [490]
3 years ago
12

Use method of completing the square to transform quadratic equation into form (x+p)^2=q.

Mathematics
1 answer:
nydimaria [60]3 years ago
8 0

Answer:

2(x +1/2)^2 = -1/2

Step-by-step explanation:

The steps generally will be ...

1. subtract the constant

2x^2 +2x = -1

2. factor out the leading coefficient on the left

2(x^2 +x) = -1

3. add the square of half the x-coefficient inside parentheses, and an equal quantity on the other side of the equal sign

2(x^2 +x +1/4) = -1 +2(1/4)

4. simplify and write in the required form

2(x +1/2)^2 = -1/2

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