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CBSE Class 10 Answered

x + 1/x = 3 . Find x by Quadratic formula 
Asked by bhatnagardrpiyush | 13 May, 2019, 07:14: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x space plus space 1 over straight x space equals space 3
rightwards double arrow space straight x squared space plus space 1 space equals space 3 straight x
rightwards double arrow straight x squared space minus space 3 straight x space plus space 1 space equals space 0
Here space straight a space equals space 1 space comma space straight b space equals space minus 3 space and space straight c space equals space 1.
By space Quadatic space Formula comma
straight x space equals space fraction numerator negative straight b plus-or-minus square root of straight b squared space minus space 4 ac end root over denominator 2 straight a end fraction
space space space equals fraction numerator negative open parentheses negative 3 close parentheses plus-or-minus square root of open parentheses negative 3 close parentheses squared space minus space 4 cross times 1 space cross times space 1 end root over denominator 2 cross times 1 end fraction
space space space equals fraction numerator 3 plus-or-minus square root of 5 over denominator 2 end fraction
rightwards double arrow straight x space equals space fraction numerator 3 plus square root of 5 over denominator 2 end fraction or space straight x space equals space fraction numerator 3 minus square root of 5 over denominator 2 end fraction
end style
Answered by Yasmeen Khan | 14 May, 2019, 09:37: AM

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