yz7dgvmwjz
yz7dgvmwjz yz7dgvmwjz
  • 25-02-2021
  • Mathematics
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complete the square x^2+6x=-2

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altavistard
altavistard altavistard
  • 25-02-2021

Answer:

Step-by-step explanation:

Answer this by inserting a positive number between the '6x' and the '=' sign and then subtracting the same number:

x^2 + 6x + 9 - 9 = -2

Where does the "9" come from?  Take half the coefficient of x (which is 6) and square the result (obtaining 36).  Now add 36 after the "6x" and then subtract 36:

x^2 + 6x + 9 = 7

Rewrite this with a perfect square on the left side:

(x + 3)^2 = 7            Here we have successfully "completed the square."

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