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प्रश्न
Solve the equation `2x - 1/x = 7` and determine the answer correct to two decimal places.
बेरीज
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उत्तर
Given:
`2x - 1/x = 7`
Multiply both sides by x (x ≠ 0):
`=> 2x^2 - 1 = 7x `
`=> 2x^2 - 7x - 1 = 0`
`x = [7 ± sqrt(49 + 8)] / 4`
`= (7 ± sqrt57)/4`
Numerically: √57
= 7.549834435
`x1 = (7 + sqrt57)/4`
= 3.6374586088
= 3.64
`x2 = (7 - sqrt57)/4`
= −0.1374586088
= −0.14
So x = 3.64 or x = −0.14
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