If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of (i)α - β (ii)α2 + β2 (iii)at + β4 (iv)αβ’ +α?β τα 1 1 (viii)a3 + β’ β 1 α + 1 (ix) + β α β β α (xii)atβ3 +αβ4 1 (vi)=+ α β να β (*). + β α 1 1 (xiii)=+ α β ·αβ (vii) 1 α α (xi) + β +2 α βι + β α α β –2αβ (xiv) + 2 βι α 1 2 1 +3αβ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of
(i)α - β
(ii)α2 + β2
(iii)at + β4
(iv)αβ’ +α?β
τα
1
1
1
1
1
(vi)=+
α β
·αβ
(vii)
(viii)a3 + β’
α
α
β
α
1
β
1
(xi) +
+2
+
β α α β
–2αβ (xiv) +
α βι
2
2
βι α
1
β
α β
(ix) +
β α
(xii)atβ3 +αβ4
+
να β
(*).
+
β
α
1
1
(xiii)=+
α β
+3αβ
Transcribed Image Text:If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of (i)α - β (ii)α2 + β2 (iii)at + β4 (iv)αβ’ +α?β τα 1 1 1 1 1 (vi)=+ α β ·αβ (vii) (viii)a3 + β’ α α β α 1 β 1 (xi) + +2 + β α α β –2αβ (xiv) + α βι 2 2 βι α 1 β α β (ix) + β α (xii)atβ3 +αβ4 + να β (*). + β α 1 1 (xiii)=+ α β +3αβ
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,