rhiamariep rhiamariep

07-11-2016
Mathematics

Answered

Complete the expression so it forms a perfect-square trinomial. x² - 5x +

Options: A) 5/2 B) 5/4 C) 25/4

Verified Answer :

WillVitt WillVitt

07-11-2016

25/4 because the 25 and 4 can be square rooted to 5/2

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calculista calculista

11-10-2018

we know that

\((x-a)^{2} =x^{2} -2ax+a^{2}\)

we have

\(x^{2}- 5x + (\ )\)

in this problem

\(-2ax=-5x\\2a=5\\a=(5/2)\)

Substitute

\((x-\frac{5}{2})^{2} =x^{2} -2*\frac{5}{2}x+(\frac{5}{2})^{2}\\ \\= x^{2} -5x+(\frac{25}{4})\)

therefore

the answer is the option C

\(\frac{25}{4}\)

Answer Link

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