Question

how to use complete square method ?

Answer 1

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Answer 2

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is aperfect square trinomial .

To solve a x 2 + b x + c = 0 by completing the square:

      1.  Transform the equation so that the constant term, c , is alone on the right side. 
      2.  If a , the leading coefficient (the coefficient of the x 2 term), is not equal to 1 , divide both sides by a . 

      3.  Add the square of half the coefficient of the x -term, ( b 2 a ) 2 to both sides of the equation.

      4.  Factor the left side as the square of a binomial.

      5.  Take the square root of both sides.  (Remember: ( x + q ) 2 = r is equivalent to x +q = ± r .)

      6.  Solve for x .