a,b,c are real, the roots of x^2+3x-1=0 also satisfy n x^4+ax^2+bx+c=0. Find (a+b+4c+100).

It is given that a,b,c are three real numbers such that the roots of the equation x^2+3x-1=0 also satisfy the equation x^4+ax^2+bx+c=0. Find the value of (a+b+4c+100).
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Algebra
Quadratic Equations
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Polynomials
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Number Theory
Divisibility
Euler's Totient Function
Wilson Theorem
Fermat's Little Theorem
Diophantine Equations

Geometry
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Combinatorics
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Problems useful for::
Olympiad Mathematical Question
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Problems of my channel has been taken from ::
National Talent Search Examination - NTSE - India
Singapore and Asian Schools Math Olympiad - SASMO - Singapore
National Mathematics Talent Contest - NMTC - India
South East Asian Mathematical Olympiad - SEAMO - Singapore
National Standard Examination in Junior Science - NSEJS - India
Australian Mathematics Competition - AMC - Australia
Pre-regional Mathematical Olympiad - PRMO - India
MAA American Mathematics Competition - MAA AMC - America
Indian Statistical Institute Admission Test - India
Hong Kong International Mathematical Olympiad - HKIMO - Hong Kong
Thailand International Mathematical Olympiad - TIMO - Thailand
Chennai Mathematical Institute Admission Test - India
Philippine International Math and Science Olympics - PIMSO - Philippine
Joint Entrance Examination - JEE Main - India
Math Kangaroo Competition
Bose Einstein Scholarship Test - (BEST) - India
Asia International Mathematical Olympiad - AIMO
Depth of Knowledge Assessment - DOKA - Singapore
Joint Entrance Examination - JEE Advanced - India
World Mathematics Invitational - WMI
Singapore International Math Olympiad Challenge - SIMOC - Singapore
Singapore Math Competition - Singa Math - Singapore
Regional Mathematical Olympiad - RMO - India
Singapore Mathematical Olympiad - SMO - Singapore
American Invitational Mathematics Examination - AIME - America
Canadian Mathematical Olympiad - CMO - Canada
Indian National Mathematical Olympiad - INMO - India
International Mathematical Olympiad - IMO


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iv) Try to make the learner an expert from a beginner.
v) To render non-routine mathematics problems for the future research works.

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