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MATH / The largest solution to

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The largest solution to 9x3−20x=829x^3 - 20x = 8 \sqrt{2}can be written in the form a+bc,\frac{\sqrt{a} + \sqrt{b}}{c}, where a,a, b,b, and cc are positive integers, when simplified. Find a+b+c.a + b + c.
Plain-text mathematical notation (without MathML)
The largest solution to
9x³−20x=8√(2)can be written in the form (√(a)+√(b))/(c), where a, b, and c are positive integers, when simplified.  Find a+b+c.
Original LaTeX notation
The largest solution to
\[9x^3 - 20x = 8 \sqrt{2}\]can be written in the form $\frac{\sqrt{a} + \sqrt{b}}{c},$ where $a,$ $b,$ and $c$ are positive integers, when simplified.  Find $a + b + c.$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
1c3d1031-2abc-5224-a6c8-b4877db19edb
task_key
intermediate~5falgebra--test--1c3d1031-2abc-5224-a6c8-b4877db19edb
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import