Asked by Mike
Determine zeros of F(x)= -x^4 + x^2 + 1
Answers
Answered by
Damon
x^4 -x^2 -1 = 0
let z = x^2
z^2 - z - 1 = 0
z = [ 1 +/- sqrt (1+4) ]/2
z = .5 +/- .5 sqrt 5
that means
x^2 = .5 +/- .5 sqrt 5 = 1.62 or -.618
if x^2 = 1.62
x = +/- 1.27
if x^2 = -.618 = -1 * .618
x = i * .786 or -i * .786
x =
let z = x^2
z^2 - z - 1 = 0
z = [ 1 +/- sqrt (1+4) ]/2
z = .5 +/- .5 sqrt 5
that means
x^2 = .5 +/- .5 sqrt 5 = 1.62 or -.618
if x^2 = 1.62
x = +/- 1.27
if x^2 = -.618 = -1 * .618
x = i * .786 or -i * .786
x =
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