hockeychick23
  • hockeychick23
What number must be added to each binomial to make a perfect square trinomial? x^2-5x+?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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LynFran
  • LynFran
(-5/2)^2
anonymous
  • anonymous
\[ add~\left( half~ the~ co-efficient~ of ~x \right)^2\]
LynFran
  • LynFran
(-5x/2)^2

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hockeychick23
  • hockeychick23
ok so would it be 25/4 ?
jdoe0001
  • jdoe0001
\(\begin{array}{cccccllllll} {\color{brown}{ a}}^2& + &2{\color{brown}{ a}}{\color{blue}{ b}}&+&{\color{blue}{ b}}^2\\ \downarrow && &&\downarrow \\ {\color{brown}{ a}}&& &&{\color{blue}{ b}}\\ &\to &({\color{brown}{ a}} + {\color{blue}{ b}})^2&\leftarrow \end{array}\qquad % perfect square trinomial, negative middle term \begin{array}{cccccllllll} {\color{brown}{ a}}^2& - &2{\color{brown}{ a}}{\color{blue}{ b}}&+&{\color{blue}{ b}}^2\\ \downarrow && &&\downarrow \\ {\color{brown}{ a}}&& &&{\color{blue}{ b}}\\ &\to &({\color{brown}{ a}} - {\color{blue}{ b}})^2&\leftarrow \end{array}\) 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
  • hockeychick23
oh so its 2*1*x=5 so x= 5/2
anonymous
  • anonymous
25/4 is correct

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