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Step-by-step Solution

Solve the equation $x+x^2=10$

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Answer

$x_1=2.7016,\:x_2=-3.7016$

Step-by-step explanation

Problem to solve:

$x+x^2=10$
1

Rewrite the equation

$x^2+x-10=0$
2

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=1$ and $c=-10$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

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Answer

$x_1=2.7016,\:x_2=-3.7016$
$x+x^2=10$

Main topic:

Equations

Time to solve it:

~ 0.43 seconds

Related topics:


Quadratic formulaEquations

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