pascalswager
New member
- Joined
- Dec 25, 2019
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1. The cubic equation 0 = x^3 - 1.5*x^2 + 0.5*x - 0.75/(12*SQRT(3)) has three real roots, which can easily be found by iteration:
x≈ 0.100368...
x≈ 0.338955...
x≈ 1.06068...
Can you find the EXACT representation of the first root? (x≈0.100368...) ?
2. More generally, can you find an exact representation of the lowest root for the following equation?
0 = x^3 - 1.5*x^2 + 0.5*x - t/(12*SQRT(3)) for 0<t<1?
Any help much appreciated!
x≈ 0.100368...
x≈ 0.338955...
x≈ 1.06068...
Can you find the EXACT representation of the first root? (x≈0.100368...) ?
2. More generally, can you find an exact representation of the lowest root for the following equation?
0 = x^3 - 1.5*x^2 + 0.5*x - t/(12*SQRT(3)) for 0<t<1?
Any help much appreciated!