abates950
abates950 abates950
  • 24-11-2017
  • Mathematics
contestada

What number needs to be added to both sides of the equation in order to complete the square?

x2+14x=−32

What number needs to be added to both sides of the equation in order to complete the square x214x32 class=

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musiclover10045
musiclover10045 musiclover10045
  • 24-11-2017

x^2+14x = (x+7)^2

7^2 = 49

so you would add 49 to both sides

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Vespertilio Vespertilio
  • 21-10-2019

Answer:

49

Step-by-step explanation:

The formula for the whole square is

[tex]\left ( a+b \right )^2=a^{2}+2ab+b^{2}[/tex]

So, to make the complete square, in the expression

[tex]x^{2}+14x = - 32[/tex]

First take half of the term 14 x that is 7x and then divide it by x so it is 7. Now take its square that is 49. So add 49 on both the sides to make the given expression as a whole square.

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