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What number must you add to complete the square? X^2 +12x=40
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What number must you add to complete the square? X^2 +12x=40

User Plavozont
by
7.6k points

2 Answers

1 vote

Answer:

36

Explanation:

(x+6)^2=76

User Nikunj Aggarwal
by
7.1k points
2 votes
You halve the linear coefficient, square it, then add that to both sides. In this case:

(12/2)^2=6^2=36 so you would add 36 to both sides

x^2+12x+36=76 so that the left side is now a perfect square

(x+6)^2=76
User Jagzviruz
by
9.5k points
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