SOLUTION: consider the sum of squares x^2+9.if this sum can be factored, then there are intergers m and n such that x^2+9=(x+m)(x+n). write two equationa relating the sum of m and n to the
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-> SOLUTION: consider the sum of squares x^2+9.if this sum can be factored, then there are intergers m and n such that x^2+9=(x+m)(x+n). write two equationa relating the sum of m and n to the
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Question 114900This question is from textbook McDougal Littell
: consider the sum of squares x^2+9.if this sum can be factored, then there are intergers m and n such that x^2+9=(x+m)(x+n). write two equationa relating the sum of m and n to the coefficients in x^2+9.
show that there are no intergers m and n that satisfy both equations you wrote in part (a). what can you conclude? This question is from textbook McDougal Littell
You can put this solution on YOUR website! consider the sum of squares x^2+9.if this sum can be factored, then there are integers m and n such that x^2+9=(x+m)(x+n). write two equationa relating the sum of m and n to the coefficients in x^2+9.
mn=9
m+n=0
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show that there are no integers m and n that satisfy both equations you wrote in part
For m+n to equal 0, m would have to be the negative of n
For mn to equal 9 both m and n would have to have the same sign
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(a). what can you conclude?
I'll leave that to you.
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cheers,
Stan H.
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