7^2n-2 / 7^2 = 49^2

asked by guest
on Oct 21, 2024 at 8:19 am



You asked:

Solve the equation \({7}^{2} \cdot n - \frac{2}{{7}^{2}} = {49}^{2}\) for the variable \(n\).

MathBot Answer:

The solution is: \[n = \frac{117651}{2401} = 49.000\overline{832986255726780508121615993336109954185755935027072053311120366513952519783423573511037067888379841732611411911703456892961266139108704706372344856309870887130362349021241149521032902957101207830070803831736776343190337359433569346105789254477301124531445231153685964181591003748438150770512286547271970012494793835901707621824239900041649312786339025406080799666805497709287796751353602665556018325697625989171178675551853394418992086630570595585172844648063306955435235318617242815493544356518117451062057476051645147855060391503540191586838817159516867971678467305289462723865056226572261557684298209079550187421907538525614327363598500624739691795085381091211995002082465639316951270304039983340274885464389837567680133277800916284881299458558933777592669720949604331528529779258642232403165347771761765930862140774677217825905872553102873802582257392753019575177009579341940857975843398583923365264473136193252811328613077884214910453977509371095376926280716368179925031236984589754269054560599750104123281965847563515201999167013744273219491878384006663890045814244064972927946688879633486047480216576426488962932111620158267388588088296543107038733860891295293627655143690129112869637650978758850478967097042898792169929196168263223656809662640566430653894210745522698875468554768846314035818408996251561849229487713452728029987505206164098292378175760099958350687213660974593919200333194502290712203248646397334443981674302374010828821324448146605581007913369429404414827155351936693044564764681382757184506455643481882548937942523948354852144939608496459808413161182840483132028321532694710537276134943773427738442315701790920449812578092461474385672636401499375260308204914618908788004997917534360683048729695960016659725114535610162432319866722199083715118700541441066222407330279050395668471470220741357767596834652228238234069137859225322782174094127446897126197417742607246980424822990420658059142024156601416076634735526863806747188671386922115785089546022490628904623073719283631820074968763015410245730945439400249895876718034152436484798000}\]

\[\begin{aligned}49 n - \frac{2}{49} &= 2401\\49 n &= \frac{117651}{49}\\n &= \frac{117651}{2401}\end{aligned}\]

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