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Best Answer
X^2 + x - 1
Does NOT factor into REAL numbers.
Using the Quadratic Eq'n
x = {-1 +/- sqrt{(1^2 - 4(1)(-1)]} / 2(1)
x = { -1 +/- sqrt( 1 +4)} / 2
x = { - 1 sqrt(5)} / 2
x = { - 1 +/- 2.23606...} / 2
x = -3.23606.../2 = -1.61880....
&
x = 1.23506.../ 2 = 0.6180....
NB The result produces two Irrational Numbers.
Casually, Irrational numbers are those were the decimals go to infinity and there is no regular order in the decimal digits.
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