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Find the value of c that makes z2 - 5z + c a perfect square trinomial.

C= *BLANK*

Write the expression as the square of a binomial.
The expression is *BLANK*

Sagot :

Mhanifaidn

Answer:

  • c = 6.25

Step-by-step explanation:

Given trinomial:

  • z² - 5z + c

Complete square:

  • z² - 2*2.5*z + 2.5² + c - 2.5² =
  • (x - 2.5)² + c - 6.25

The value of c:

  • c - 6.25 = 0
  • c = 6.25
  • z²-5z+c=0
  • z²-2(z)(2.5)+c=0

Add and subtract 2.5²

  • z²-2(z)(2.5)+2.5²-2.5²+c=0
  • (z-2.5)²-6.25+c=0

So

  • c-6.25=0
  • c=6.25
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