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What value of c will complete the square in the expression below to make it a perfect square trinomial? x² - 9x + c Enter the perfect square trinomial as a squared binomial.​

User Fjh
by
8.9k points

1 Answer

3 votes

Answer:

c =
(81)/(4)

Explanation:

x² - 9x + c

to complete the square

add ( half the coefficient of the x- term)² to x² - 9x

= x² + 2(-
(9)/(2) )x + ( -
(9)/(2)

= x² - 9x +
(81)/(4) → with c =
(81)/(4)

= (x -
(9)/(2)

User Nawlbergs
by
9.3k points

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