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प्रश्न
Solve the following equation:
`x - 18/x = 6` Give your answer correct to two significant figures.
उत्तर
`x = 18/x = 6`
`=> x^2 - 6x - 18 = 0`
here a = 1, b = -6 and c = -18
Thus the rootsof theequationwill be
`x = (-b +- sqrt(b^2 - 4ac))/"2a"`
`x = (-b +- sqrt(b^2 - 4ac))/(2a)`
`=> x = (-(-6) +- sqrt((-6)^2 - 4(1)(-18)))/(2(1))`
`=> x = (6 +- sqrt108)/2`
`=> x = (6+-6sqrt3)/2`
`=> x = 3+-3sqrt3`
`=> x = 3+- 3xx 1.73` [using `sqrt3 = 1.73`]
`=> x = 8.19 and -2.19`
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