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32601883
Solve by Completing the Square 8.12.2021
Description
Solve without us fractions. integers and Square Roots. Some have a common factor.
No tags specified
quadratic
algebra
gmat
Quiz by
Theresa C.
, updated more than 1 year ago
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Created by
Theresa C.
over 3 years ago
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Resource summary
Question 1
Question
\[x^2-4x-4=0\]
Answer
\[x=2, x=-12\]
\[x=2\pm2\sqrt{2}\]
\[x=2\pm\sqrt{3}\]
\[x=-2\pm4\sqrt{2}\]
Question 2
Question
\[x^2-10x+16=0\]
Answer
\[x=-5, x=-9\]
\[x=8, x=2\]
\[x=5 \pm\sqrt{41}\]
\[x=\pm\sqrt{13}\]
Question 3
Question
\[x^2+10x-56=0\]
Answer
\[x=4, x=-14\]
\[x=3\pm\sqrt{29}\]
\[x=5\]
\[x=\pm\sqrt{5}\]
Question 4
Question
\[2x^2+4x+2=0\]
Answer
\[x=-1\]
\[x=-3\pm3\sqrt{5}\]
\[x=0, x=1\]
\[x=\pm\sqrt{7}\]
Question 5
Question
\[2x^2-12x-10=0\]
Answer
\[x=3\pm\sqrt{14}\]
\[x=\pm11\]
\[x=\pm\sqrt{19}\]
\[x=4, x=-8\]
Question 6
Question
\[3x^2-48=0\]
Answer
\[x=\pm4\]
\[x=-1, x=-8\]
\[x=-5\pm4\sqrt{10}\]
\[x=\pm\sqrt{2}\]
Question 7
Question
\[x^2+2x-14=0\]
Answer
\[x=-1\pm\sqrt{15}\]
\[x=3\pm4\sqrt{3}\]
\[x=-7, x=5\]
\[x=\pm7\]
Question 8
Question
\[5x^2-65=0\]
Answer
\[x=\pm\sqrt{13}\]
\[x=\pm25\]
\[x=-10, x=3\]
\[x=-6\pm\sqrt{3}\]
Question 9
Question
\[4x^2-20x=0\]
Answer
\[x=0,x=5\]
\[x=\pm2\]
\[x=-8\pm2\sqrt{2}\]
\[x=\pm6\sqrt{11}\]
Question 10
Question
\[x^2-12x-1=0\]
Answer
\[x=6\pm\sqrt{37}\]
\[x=-12, x=9\]
\[x=7\pm\sqrt{7}\]
\[x=-6\]
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