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VMariaS [17]
2 years ago
14

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

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer:

  • c = 6.25

Step-by-step explanation:

<u>Given trinomial:</u>

  • z² - 5z + c

<u>Complete square:</u>

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

<u>The value of c:</u>

  • c - 6.25 = 0
  • c = 6.25
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