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If integer \(k > 0\) and \(x^2 - 7x + k = 0,\) what is the value of \(k?\)

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Source: — Data Sufficiency |
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Re: If integer \(k > 0\) and \(x^2 - 7x + k = 0,\) what is the value of \(k?\)

by alishagmat » Sat Oct 10, 2020 8:03 am

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Your Answer

A

B

C

D

E

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let the roots be a and b
a+b=7
ab=k
all possible values of a and b are
a. b
1. 6
2. 5
3. 4
4. 3
5. 2
6. 1
-1. -6
-2. -5
-3. -4
-4. -3
-5. -2
-6. -1

Using 1 -, only (2,5) and (5,2) satisfies answer, giving k =10 Hence, sufficient
Using 2 - again only (2,5) and (5,2) satisfies answer, giving k =10 Hence, sufficient
Hence, answer = D
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