Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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 :

mhanifa

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
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.