Express x^2-5x+8 in the form (x-a)^2+b where a and b are integers

asked Sep 3, 2023 85.1k views

13 votes

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10 votes

Answer:

f(x)=(x-(5)/(2))^2+(7)/(4)

Explanation:

Complete the square

$f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-(5)/(2))^2+(7)/(4)$

Artalus answered Sep 8, 2023

5.5k points

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