SOLUTION: Please can you help me in solving this equation as i tried to solve it but unable to do it. 4xy − x3 − 2 = 0 Use algebra to determine the exact values for the x-int

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Question 404966: Please can you help me in solving this equation as i tried to solve it but unable to do it.
4xy − x3 − 2 = 0
Use algebra to determine the exact values for the x-intercepts. Then give an approximation rounded to two decimal places.
(x, y) = (_________), ~(_______)
I know how to get the equation in slope intercept form: y= (x^3+2)/4x
But unable to understand how to work further.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
4xy − x3 − 2 = 0
Use algebra to determine the exact values for the x-intercepts. Then give an approximation rounded to two decimal places.
(x, y) = (_________), ~(_______)
I know how to get the equation in slope intercept form: y= (x^3+2)/4x
But unable to understand how to work further.
--------------
y = (x^3+2)/(4x)
---
To find the x-intercept, let y = 0 and solve for "x":
(x^3+2)/4x = 0
---
This fraction will be zero when the numerator is zero.
Solve x^3+2 = 0
x^3 = -2
x = (-2)^(1/3) is approximately -1.259921...
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Cheers,
Stan H.
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