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For what real values of a is x^2 + ax + 125 the square of a binomial? If you find more than one, then list the values separated by commas.

 Jun 30, 2021
 #1
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(x  -  sqrt 125)   ( x - sqrt 125)   =  x^2  - 2sqrt (125)x   +  125

 

( x +  sqrt 125)  ( x +  sqrt 125)   =  x^2  + 2sqrt (125)x  +  125

 

a =  -2 sqrt (125)     and   2 sqrt (125)

Simplified

a  =  -10sqrt 5        and  10sqrt 5

 

 

cool cool cool

 Jun 30, 2021

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