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Can you help me please???
For what kind of integers numbers of "a", both solutions of the equation: x^2 + ax + 6= 0, are integers numbers ?
with solutions I refer the two numbers that make the equation = 0
and I think it has to do with Vieta's formulas.

 Jun 5, 2015

Best Answer 

 #1
avatar+33616 
+13

What two integers multiplied together make 6.

 

A.  1 and 6

B. -1 and -6

C. 2 and 3

D. -2 and -3

 

The sum of these must equal a, so:

A. a = 7                     x2 + 7x + 6 → (x + 1)(x + 6) =0  solutions are x = -1 and x = -6

B. a = -7                   x2 - 7x + 6 → (x - 1)(x - 6) =0  solutions are x = 1 and x = 6

C. a = 5                    x2 + 5x + 6 → (x + 2)(x + 3) =0  solutions are x = -2 and x = -3

D. a = -5                   x2 - 5x + 6 → (x - 2)(x - 3) =0  solutions are x = 2 and x = 3

.

 Jun 5, 2015
 #1
avatar+33616 
+13
Best Answer

What two integers multiplied together make 6.

 

A.  1 and 6

B. -1 and -6

C. 2 and 3

D. -2 and -3

 

The sum of these must equal a, so:

A. a = 7                     x2 + 7x + 6 → (x + 1)(x + 6) =0  solutions are x = -1 and x = -6

B. a = -7                   x2 - 7x + 6 → (x - 1)(x - 6) =0  solutions are x = 1 and x = 6

C. a = 5                    x2 + 5x + 6 → (x + 2)(x + 3) =0  solutions are x = -2 and x = -3

D. a = -5                   x2 - 5x + 6 → (x - 2)(x - 3) =0  solutions are x = 2 and x = 3

.

Alan Jun 5, 2015
 #2
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+5

thanks a lot :D

 Jun 5, 2015

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