Question

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

Answer 1

Answer:

$f(x)=(x-\frac{5}{2})^2+\frac{7}{4}$

Step-by-step explanation:

Complete the square

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