Math, asked by vaishu9241, 9 months ago

X - 1/x=3 find the roots by formula method

Answers

Answered by rishabkumarsingh2000
0

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1. x = ( 3 +  \sqrt{13} )/ 2

2. x = ( 3 -  \sqrt{13} )/ 2

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x = - b + (  \sqrt{b^2 - 4ac} )/ 2a

x = - b - (  \sqrt{b^2 - 4ac} ) / 2a

ax² + bx + c = 0 ,

where, a not equal to 0 , & a,b, c are real coefficients of the equation.

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x - 1/x = 3

==> ( - 1) / x = 3

==> - 1 = 3x

==> -3x -1 = 0

Now, Apply Shridharacharya formula;-

x = - (-3) + (  \sqrt{</em></strong><strong><em>(</em></strong><strong><em>-</em></strong><strong><em>3</em></strong><strong><em>)</em></strong><strong><em>^2 - 4</em></strong><strong><em>(</em></strong><strong><em>1</em></strong><strong><em>)</em></strong><strong><em>(</em></strong><strong><em>-</em></strong><strong><em>1</em></strong><strong><em>)</em></strong><strong><em>} ) / 2(1)

x = 3 + (  \sqrt{</em></strong><strong><em>+</em></strong><strong><em>9</em></strong><strong><em>+</em></strong><strong><em> </em></strong><strong><em>4</em></strong><strong><em>} ) / 2

x = ( 3 +  \sqrt{</em></strong><strong><em>1</em></strong><strong><em>3</em></strong><strong><em>} )/ 2 (Ans)

Similarly,

x = ( 3 -  \sqrt{13} )/ 2 (Ans)

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