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Step-by-step Solution

Solve the equation $x^2-5x+6=0$

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Answer

$x_1=3,\:x_2=2$

Step-by-step explanation

Problem to solve:

$x^2-5x+6=0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=-5$ and $c=6$

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

Substituting the values of the coefficients of the equation in the quadratic formula

$x=\frac{5\pm 1}{2}$

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Answer

$x_1=3,\:x_2=2$
$x^2-5x+6=0$

Main topic:

Equations

Time to solve it:

~ 0.43 seconds