Mr Daniels Maths
Completing the Square

Easy

Medium

Difficult

Q1) Complete the following square
\(x^2 + 4x\) =
\((x + 2)^2 - 4\)
Q1) Complete the following square
\(x^2 + 18x+7\) =
\({(x + 9 )}^2-74\)
Q1) Complete the following square
\(x^2 + 5x+4\)=
\((x + \) 2\(\frac{1}{2}\)\()^2\) -2\(\frac{1}{4}\)
Q2) Complete the following square
\(x^2 + 2x\) =
\((x + 1)^2 - 1\)
Q2) Complete the following square
\(x^2 + 12x+4\) =
\({(x + 6 )}^2-32\)
Q2) Complete the following square
\(x^2 + 5x-6\)=
\((x + \) 2\(\frac{1}{2}\)\()^2\) -12\(\frac{1}{4}\)
Q3) Complete the following square
\(x^2 -4x\) =
\((x -2)^2 - 4\)
Q3) Complete the following square
\(x^2 + 18x+5\) =
\({(x + 9 )}^2-76\)
Q3) Complete the following square
\(x^2 + 11x-4\)=
\((x + \) 5\(\frac{1}{2}\)\()^2\) -34\(\frac{1}{4}\)
Q4) Complete the following square
\(x^2 + 2x\) =
\((x + 1)^2 - 1\)
Q4) Complete the following square
\(x^2 + 14x+6\) =
\({(x + 7 )}^2-43\)
Q4) Complete the following square
\(x^2 + 19x-4\)=
\((x + \) 9\(\frac{1}{2}\)\()^2\) -94\(\frac{1}{4}\)
Q5) Complete the following square
\(x^2 -8x\) =
\((x -4)^2 - 16\)
Q5) Complete the following square
\(x^2 + 10x-3\) =
\({(x + 5 )}^2-28\)
Q5) Complete the following square
\(x^2 + 13x+5\)=
\((x + \) 6\(\frac{1}{2}\)\()^2\) -37\(\frac{1}{4}\)
Q6) Complete the following square
\(x^2 -6x\) =
\((x -3)^2 - 9\)
Q6) Complete the following square
\(x^2 + 4x+3\) =
\({(x + 2 )}^2-1\)
Q6) Complete the following square
\(x^2 + 3x-5\)=
\((x + \) 1\(\frac{1}{2}\)\()^2\) -7\(\frac{1}{4}\)
Q7) Complete the following square
\(x^2 -2x\) =
\((x -1)^2 - 1\)
Q7) Complete the following square
\(x^2 + 20x+4\) =
\({(x + 10 )}^2-96\)
Q7) Complete the following square
\(x^2 + 11x+7\)=
\((x + \) 5\(\frac{1}{2}\)\()^2\) -23\(\frac{1}{4}\)
Q8) Complete the following square
\(x^2 -6x\) =
\((x -3)^2 - 9\)
Q8) Complete the following square
\(x^2 + 12x-5\) =
\({(x + 6 )}^2-41\)
Q8) Complete the following square
\(x^2 + 11x+5\)=
\((x + \) 5\(\frac{1}{2}\)\()^2\) -25\(\frac{1}{4}\)
Q9) Complete the following square
\(x^2 -10x\) =
\((x -5)^2 - 25\)
Q9) Complete the following square
\(x^2 + 16x-3\) =
\({(x + 8 )}^2-67\)
Q9) Complete the following square
\(x^2 + 15x-6\)=
\((x + \) 7\(\frac{1}{2}\)\()^2\) -62\(\frac{1}{4}\)
Q10) Complete the following square
\(x^2 -10x\) =
\((x -5)^2 - 25\)
Q10) Complete the following square
\(x^2 + 8x-7\) =
\({(x + 4 )}^2-23\)
Q10) Complete the following square
\(x^2 + 13x-7\)=
\((x + \) 6\(\frac{1}{2}\)\()^2\) -49\(\frac{1}{4}\)