If a, ß are the roots of the equation x'+ px +q= 0 and also of x + p"x" +q* = 0αβand Ifare the roots of x" +1+(x+1)" = 0, Then, prove that roots, ofx²++ px +q= 0. Then prove that n is even integer.

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If a, B are the roots of the equation x + px + q =0 and also of x + p"x" + q* = 0 %3! αβ and If are the roots of x" +1+(x+1)" = 0, Then, prove that roots, of B'a x² + px +q=0. Then prove that n is even integer.

If a, B are the roots of the equation x + px + q =0 and also of x + p"x" + q* = 0 %3! αβ and If are the roots of x" +1+(x+1)" = 0, Then, prove that roots, of B'a x² + px +q=0. Then prove that n is even integer.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.2: Properties Of Division

Problem 51E

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Question

If a, ß are the roots of the equation x'+ px +q= 0 and also of x + p"x" +q* = 0
αβ
and If
are the roots of x" +1+(x+1)" = 0, Then, prove that roots, of
x²+
+ px +q= 0. Then prove that n is even integer.

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