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Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step was to rewrite the equation as extra 2nd+ 7X equals 11 he then added a number to both sides of the equation which number do you add

User Melli
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1 Answer

6 votes

Answer:


((7)/(2))^(2)

Explanation:

Brain correctly use a method of completing the square to solve the equation:


x^2+7x-11=0

His First Step is to: Take the Constant Term to the Right Hand Side


x^2+7x=11

The Next Step Would be to:

  • Divide the Coefficient of x by 2
  • Square It
  • Add it to both Sides

In this case, the Coefficient of x = 7

  • Divided by 2 =
    (7)/(2)
  • Squaring It, we have:
    ((7)/(2))^(2)

It is this number
((7)/(2))^(2) that is added to both sides in the manner below:


x^2+7x+((7)/(2))^(2)=11+((7)/(2))^(2)

User Motiur
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