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CateL1515
03.03.2020 •
Mathematics
Solve this quadratic equation by completing the square.
x2 + 6x = 18
Solved
Show answers
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Ответ:
x=3sqrt3-3; x=-3sqrt3-3
Step-by-step explanation:
solve for a, 2ax=6x; a=3:
x^2+6x+3^2=18+3^2
Simplify, 18+3^2=27:
x^2+6x+3^2=27
Complete square: (x+3)^2=27
Two answers: x+3=sqrt27; x+3=-sqrt27
Therefore, x=3sqrt3-3; x=-3sqrt3-3
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