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Fast Math - Random Quadratic Equations

Can you solve these random quadratic equations? The equations change every time!
Enter the two solutions in either order.
Answer must correspond to highlighted box!
All solutions are integers.
If this is too fast, you can always try the 15 Minute Version so you're not time pressured.
Quiz by
Stewart
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Last updated: September 26, 2019
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First submittedSeptember 26, 2019
Times taken2,351
Average score80.0%
Rating5.00
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Equation
Solutions
x² - 16x + 63
7 and 9
x² - 8x - 105
-7 and 15
x² + 12x + 32
-4 and -8
x² - 19x + 88
8 and 11
x² - 21x + 110
10 and 11
Equation
Solutions
x² + 9x + 20
-4 and -5
x² - 18x + 81
9 and 9
x² - 7x - 60
-5 and 12
x² - 9x + 18
3 and 6
x² - 20x + 100
10 and 10
Equation
Solutions
x² - 21x + 98
7 and 14
x² - 9x - 52
-4 and 13
x² - 2x - 63
-7 and 9
x² - 27x + 182
13 and 14
x² - 225
-15 and 15
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7 Comments
+2
Level 80
Sep 27, 2019
nice, I enjoyed that!
+4
Level 50
Dec 7, 2020
Really nice idea!

But pay attention to the signs, they're wrong more often than not.

+4
Level 79
Oct 10, 2021
it's a shame there's no way to require the taker to get the right signs - typing positive integers always gives it to you. oh well, fun quiz nonetheless, challenging to do under time pressure but not complaining
+1
Level 56
Mar 13, 2022
It's easy once you know how to factorize
+2
Level 51
Mar 16, 2024
agree. but doing quad. equations in one's head is an interesting exercise
+1
Level 63
Apr 21, 2022
Good job! Too bad signs don't work.
+1
Level 53
Nov 25, 2025
Fun!