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Step-by-step Solution

Solve the equation $x^3-2x^2+x-5=0$

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Answer

$x_1=0.25-1.5612i,\:x_2=0.25+1.5612i$

Step-by-step explanation

Problem to solve:

$\left(x^3-2x^2+x-5\right)=0$
1

Moving the term $-5$ to the other side of the equation with opposite sign

$x^3-2x^2+x=5$
2

Rewrite the equation

$-2x^2+x-5=0$

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Answer

$x_1=0.25-1.5612i,\:x_2=0.25+1.5612i$
$\left(x^3-2x^2+x-5\right)=0$

Main topic:

Equations

Time to solve it:

~ 0.67 seconds