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ttan_kwook ttan_kwook

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riddlefaces  ⓗⓤⓜⓐⓝⓔ 😊 φ² = 1 + φ  If it were easy. Everyone would do it. 正義と文明化人類 Equality creates balance "All things are difficult before they are easy."

Hint.
If α and β are the roots of ax² + bx + c = 0.
then (1). D = b² - 4ac ≥ 0 ⇔ The roots are real. or (2). D ≥ 0 , αβ > 0 and α + β > 0 ⇔ α > 0 and β > 0 ( Both roots are positive ). or (3). D ≥ 0 , αβ > 0 and α + β < 0 ⇔ α < 0 and β < 0 (Both roots are negative). Notes:
√k means the principal square root of k.
k^(1/2) means the square root of k.

E.g.: √16 = 4 but 16^(1/2) = ±4

Why is √16 = 4 ?

Since √16 can be written as √(-4)^2 or
√4^2.
and by the definitions:
√(-4)^2 = |-4| = 4 or √(-4)^2 = |4| = 4
So, √16 = 4

Why is 16^(1/2) =±4 ?

Since 16^(1/2) can be written as ±√16
Therefore 16^(1/2) = ±√16 = ±4

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