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MATH / The equation x³−4x²+5x−(19)/(10)=0 has real roots r, s, and t. Find the length of the long diagonal of a box with sides of length r, s, and t.

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problem

The equation x3−4x2+5x−1910=0x^3 - 4x^2 + 5x - \frac{19}{10} = 0 has real roots r,r, s,s, and t.t. Find the length of the long diagonal of a box with sides of length r,r, s,s, and t.t.
Plain-text mathematical notation (without MathML)
The equation x³−4x²+5x−(19)/(10)=0 has real roots r, s, and t.  Find the length of the long diagonal of a box with sides of length r, s, and t.
Original LaTeX notation
The equation $x^3 - 4x^2 + 5x - \frac{19}{10} = 0$ has real roots $r,$ $s,$ and $t.$  Find the length of the long diagonal of a box with sides of length $r,$ $s,$ and $t.$

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
abb8e3ec-cc78-571a-b7a4-0f2fe5cf81f9
task_key
intermediate~5falgebra--test--abb8e3ec-cc78-571a-b7a4-0f2fe5cf81f9
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import