taylorew55
taylorew55 taylorew55
  • 22-02-2021
  • Mathematics
contestada

Is 16x2 - 16x + 4 a perfect square?

Respuesta :

epicmathmoment epicmathmoment
  • 22-02-2021

Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.

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