victoriasolyanyk
victoriasolyanyk victoriasolyanyk
  • 23-01-2022
  • Mathematics
contestada

-
Express x^2 – 5x + 8 in the form (x – a)^2 + b
where a and b are top-heavy fractions.



i got (x-5/2)^2- 7/4
can someone tell me where i’m going wrong please :/

Respuesta :

jimrgrant1 jimrgrant1
  • 23-01-2022

Answer:

(x - [tex]\frac{5}{2} [/tex] )² + [tex]\frac{7}{4} [/tex]

Step-by-step explanation:

x² - 5x + 8

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 5x

x² + 2(- [tex]\frac{5}{2} [/tex] )x + [tex]\frac{25}{4} [/tex] - [tex]\frac{25}{4} [/tex] + 8

= (x - [tex]\frac{5}{2} [/tex] )² - [tex]\frac{25}{4} [/tex] + [tex]\frac{32}{4} [/tex]

= (x - [tex]\frac{5}{2} [/tex] )² + [tex]\frac{7}{4} [/tex]

Answer Link

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