jon9363 jon9363
  • 14-06-2019
  • Mathematics
contestada

Rewrite the function by completing the square.
f(x) = x2 – 10x + 44
+
f(x) = (x+

Respuesta :

calculista
calculista calculista
  • 24-06-2019

Answer:

[tex]f(x)=(x-5)^{2}+19[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{2}-10x+44[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]f(x)-44=x^{2}-10x[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]f(x)-44+25=x^{2}-10x+25[/tex]

[tex]f(x)-19=x^{2}-10x+25[/tex]

Rewrite as perfect squares

[tex]f(x)-19=(x-5)^{2}[/tex]

[tex]f(x)=(x-5)^{2}+19[/tex]

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