Menu Close

If-x-2-x-3-0-Find-x-9-x-2-

Tinku Tara 0 Comments
Pin




Question Number 212448 by hardmath last updated on 13/Oct/24
If x^2 − x + 3 = 0 Find x + (9/x^2 ) = ?
Ifx2−x+3=0Findx+9x2=?
Answered by A5T last updated on 13/Oct/24
x^2 −x+3=0⇒x^3 =x^2 −3x=x−3−3x=−2x−3 x+(9/x^2 )=((x^3 +9)/x^2 )=((−2x−3+9)/(x−3))=((−2(x−3))/(x−3))=−2
x2−x+3=0⇒x3=x2−3x=x−3−3x=−2x−3x+9x2=x3+9x2=−2x−3+9x−3=−2(x−3)x−3=−2
Answered by A5T last updated on 13/Oct/24
x^2 −x+3=0⇒^(/x^2 ) 1−(1/x)+(3/x^2 )=0⇒(9/x^2 )=−3+(3/x)...(i) x^2 −x+3=0⇒^(/x) x−1+(3/x)=0⇒x=1−(3/x)...(ii) (i)+(ii)⇒(9/x^2 )+x=−2
x2−x+3=0⇒/x21−1x+3x2=0⇒9x2=−3+3x…(i)x2−x+3=0⇒/xx−1+3x=0⇒x=1−3x…(ii)(i)+(ii)⇒9x2+x=−2
Answered by Ghisom last updated on 14/Oct/24
3=x(1−x) 9=x^2 (1−x)^2 x+((x^2 (1−x)^2 )/x^2 )=x^2 −x+1=−2
3=x(1−x)9=x2(1−x)2x+x2(1−x)2x2=x2−x+1=−2

Pin

Leave a Reply

Your email address will not be published. Required fields are marked *