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29 Sep 2021, 04:45
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C
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Difficulty:
55%
(hard)
Question Stats:
68% (01:57) correct
32%
(02:17)
wrong
based on 191
sessions
History
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Time
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Not Attempted Yet
If the solutions to the expression \(x^2 + px + 32 = 0\) are m and n, where m, n and p are integers. What is the absolute maximum difference between m and n?
A. 29
B. 30
C. 31
D. 32
E. 33
A. 29
B. 30
C. 31
D. 32
E. 33
ash124
29 Sep 2021, 07:23
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Bunuel
Understand the question:
the absolute maximum difference between m and n
means |m-n| should be max.
For a quadratic equation ax^2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a
for x^2 + px + 32 = 0
m+n = -p
m*n = 32
Select values of m and n but the sum should be negative & product equal to 32
m*n = 32
-32 * -1
-16 * -1
-8 * -4
Now put values of m and n in |m-n| such that we will get the max. absolute value
|m-n|
|-32-(-1)|
= 31
Answer C
General Discussion
09 May 2025, 00:06
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