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15-05-2016
Mathematics

Answered

Solve the equation by completing the square. -9n^2+79+=-18n

Verified Answer :

16-05-2016

Hello,
-9n²+79=-18n
==>9n²-18n-79=0
==>9(n²-2n+1-1)-79=0
==>9(n-1)²-88=0
==>[3(n-1)-2√22][3(n-1)+2√22]=0
==>3(n-1)=2√22 or 3(n-1)=-2√22
==>n-1=2/3√22 or n-1=-2/3√22
==>n=1+2/3√22 or n=1-2/3√22

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