How do you complete this equation: #x^2 + __x + 25 = (x+5)(x+ __ )#?

1 Answer
Jim G. · NickTheTurtle
Nov 21, 2017

#x^2+10x+25=(x+5)(x+5)#

Explanation:

#"consider the factors "(x+5)(x+?)#

#"we require the product to give "x^2+?x+25#

#"breaking down the components of the product"#

#color(red)(x)(x+?)color(red)(+5)(x+?)#

#=x^2+? * x+5x+5* ?#

#25" is the product of "5" and "?rArr?=5#

#rArr"x-term "=?x+5x=5x+5x=10x#

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