Expert in study
alarm
Ask
Math
Martin

Find the quadratic polynomial whose zeroes are √3+√ and √3-√5​

answers: 1
Register to add an answer
The time for answering the question is over
435 cents Dzhinet
Answer:

Answer :

  • Hence the quadratic polynomial eqution formed is.

x2-√6x-16 .

Given:

  • the guadratic polynomial eqution whose roots are

x = ✓3+✓5 ,✓3-✓5 [p(x)=0]

required explanation :

  • quadratic polynomial eqution formula:

X2 -(a+B )+a.B= 0

Solution:

  • from used the quadratic polynomial eqution formula and value use in ,we get.

p(x) =

a = ✓3-✓5 | B = ✓3+✓5 [put them]

X2-(a+B)x+(a-B)=0

=> X2-(✓3-✓5+✓3-✓5)x+(✓3-✓5×✓3+✓5)=0

[a2-b2=(a-b) (a+b)]

=> X2-√6x+9-25=0

=> x2-√6x-16=0

Similarly quadratic polynomial eqution whose find roots value .√3-√5 , √3+√5 put

answer....

....x2 -√6x-16= 0

if you don't mind checked answer....

336
Dzhinet
For answers need to register.
Contacts
mail@expertinstudy.com
Feedback
Expert in study
About us
For new users
For new experts
Terms and Conditions