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X²-7x+5 in the form (x-a)²-b​

User Thom
by
4.4k points

1 Answer

5 votes

Answer:

( x - 3.5)² - 29/4

Explanation:

Given :-

  • x² - 7x + 5

Writing in ( x - a)² - b form ,

  • x² - 7x + 5
  • x² - 7 * 2/2 * x + 5
  • x² - (7/2) * 2 * x + 5
  • x² - (7/2)*2*x +(7/2)²-(7/2)²+5
  • ( x - 7/2)² + 5 - 49/4
  • ( x - 7/2)² + ( 20-49)/4
  • ( x - 3.5)² - 29/4

User Andre Paap
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4.6k points