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If two (positive) prime numbers are roots of the equation \(x^2-12x+k=0\), what is the value of k?

 Dec 26, 2017
 #1
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x^2  - 12x  + k  = 0

 

We are actually looking for two primes  that sum to 12

 

7  and 5   seem to fit the bill

 

So

 

x^2  -  12x  +   35  = 0  imply  that

 

(x  - 7) (x - 5)   = 0

 

And 7 and 5 are the roots.....and  k  = 35

 

 

cool cool cool

 Dec 26, 2017

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