help... if α and β are the zeroes of the quadratic polynomial ax2+bx+c then evaluate α^2/β^2+β^2/α^2
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I am represent here alpha by P and beeta by Q.
P+Q=-b/a,
P.Q=c/a,
P²/Q² + Q²/P²,
(P⁴+Q⁴)/P².Q²,
[(P²+Q²)²-2P²Q²]/(P.Q)²,
[{(P+Q)²-2P.Q}²-2(P.Q)²]/(P.Q)²,
[{(-b/a)²-2.c/a}²-2.(c/a)²]/(c/a)²,
[{b²/a² - 2c/a}²-2c²/a²]/(c²/a²),
now solve it...i dont have copy pen right now.....
P+Q=-b/a,
P.Q=c/a,
P²/Q² + Q²/P²,
(P⁴+Q⁴)/P².Q²,
[(P²+Q²)²-2P²Q²]/(P.Q)²,
[{(P+Q)²-2P.Q}²-2(P.Q)²]/(P.Q)²,
[{(-b/a)²-2.c/a}²-2.(c/a)²]/(c/a)²,
[{b²/a² - 2c/a}²-2c²/a²]/(c²/a²),
now solve it...i dont have copy pen right now.....
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