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If using the method of completing the square to solve the quadratic equationx2 + 2x + 30 = 0, which number would have to be added to "complete thesquare"?

If using the method of completing the square to solve the quadratic equationx2 + 2x-example-1

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Solution

For this case we have the following equation:


x^2+2x+30=0

We can complete the square with the following:


x^2+2x+((2)/(2))^2+30-((2)/(2))^2=0

And solving we got:


x^2+2x+1+30-1=0

Then the answer for this case should be:

1

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