Math, asked by modineel2004, 11 months ago

from quadratic polynomial whose zeroes are 7+√5 and 7-√5​

Answers

Answered by Gokuldoodle
2

Step-by-step explanation:

Zeroes:

7 +  \sqrt{5 }  \: and \: 7 -  \sqrt{5}

sum of the zeroes:

(7 +  \sqrt{5} ) + (7 -  \sqrt{5} ) \\ 7 +  \sqrt{5}   + 7 -  \sqrt{5 }  \\ 7 + 7 \\ 14

product of zeroes:

(7 +  \sqrt{5} )(7 -  \sqrt{5} ) \\ ( {7}^{2}   -  { \sqrt{5} }^{2} ) \\ (49 - 5) \\ 44

General form of quadratic equation:

 {x}^{2}  - (sum \: of \: the \: zeroes)x + (product \: of \: the \: zeroes)

Answer:

 {x}^{2}  - 14x + 44

Answered by KJB811217
2

Answer:

refers to the attachment.

Attachments:
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