15 – Self assessment questions on Quadratic equations using completing the square method

 a.  In each of the following quadratic expressions, find what must be added to the expressions to make them perfect squares

                                  i.        x² – 5x Click here to see our solution1

                               ii.        2x² – 6x  Click here to see our solution2

                            iii.        2x² – 3x  Click here to see our solution3

                            iv.        21m² + 4m  Click here to see our solution4

                               v.        6r² + 5r  Click here to see our solution5

b.  In each of the following quadratic expressions, determine the value of c, assuming ‘c’ is a constant term to be added to make them perfect squares

1.     2r² + 3r + c

2.   3n² – 4n + c

3.   5p² + 2p + c

4.        7e² – 5e + c

5.   8a² – 3a + c

c.   Solve the following quadratic equations using the completing-the-square method, where appropriate, leave your answers in surd form.

1.    8d² – 3d + 4 = 0

2.   2k² – k – 1 = 0

3.   7v² – 11v – 6 = 0

4.        g² – 2g – 35 = 0

5.   f² – 7f + 6 = 0

Post your answers in the comment box below.

You can also attempt some questions on factorization method by clicking here