strawberrykid2004 strawberrykid2004

25-10-2020
Mathematics

contestada

Write the equation: x^2+24x+60=0 in the form of (x+p)^2=q

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LammettHash LammettHash

25-10-2020

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

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