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hockeychick23
 one year ago
What number must be added to each binomial to make a perfect square trinomial?
x^25x+?
hockeychick23
 one year ago
What number must be added to each binomial to make a perfect square trinomial? x^25x+?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[ add~\left( half~ the~ coefficient~ of ~x \right)^2\]

hockeychick23
 one year ago
Best ResponseYou've already chosen the best response.1ok so would it be 25/4 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\begin{array}{cccccllllll} {\color{brown}{ a}}^2& + &2{\color{brown}{ a}}{\color{blue}{ b}}&+&{\color{blue}{ b}}^2\\ \downarrow && &&\downarrow \\ {\color{brown}{ a}}&& &&{\color{blue}{ b}}\\ &\to &({\color{brown}{ a}} + {\color{blue}{ b}})^2&\leftarrow \end{array}\qquad % perfect square trinomial, negative middle term \begin{array}{cccccllllll} {\color{brown}{ a}}^2&  &2{\color{brown}{ a}}{\color{blue}{ b}}&+&{\color{blue}{ b}}^2\\ \downarrow && &&\downarrow \\ {\color{brown}{ a}}&& &&{\color{blue}{ b}}\\ &\to &({\color{brown}{ a}}  {\color{blue}{ b}})^2&\leftarrow \end{array}\) notice, the middle term is 2 * term on left * term on right so the terms without the exponent so 2 * x * "something" = 5x < so solve for "something"

hockeychick23
 one year ago
Best ResponseYou've already chosen the best response.1oh so its 2*1*x=5 so x= 5/2
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