bpolansky bpolansky
  • 29-11-2021
  • Mathematics
contestada

What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C

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sqdancefan
sqdancefan sqdancefan
  • 29-11-2021

Answer:

  C = 25/9

Step-by-step explanation:

Consider the perfect square trinomial ...

  (x -a)² = x² -2ax +a²

The constant (a²) is the square of half the x-coefficient.

For your trinomial, the square of half the x-coefficient is ...

  C = ((-10/3)(1/2))² = (5/3)² = 25/9

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