nevelle
25.10.2020 •
Mathematics
Write the equation: x^2+24x+60=0 in the form of (x+p)^2=q
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Ответ:
If you expand the "target" equation, then you get
(x + p)² = q → x² + 2px + p² = q → x² + 2px + p² - q = 0
We have to have
2p = 24 → p = 12
p² - q = 60 → q = 12² - 60 = 84
and so
x² + 24x + 60 = 0 ↔ (x + 12)² = 84
Ответ:
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