# Step-by-step Solution

## Solve the equation x^2-3x+5=8

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### Videos

$x_1=4.7016,\:x_2=-1.7016$

## Step-by-step explanation

Problem to solve:

$x^2-3x+5=8$
1

Rewrite the equation

$x^2-3x-8=0$
2

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=-3$ and $c=-8$

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

$x_1=4.7016,\:x_2=-1.7016$
$x^2-3x+5=8$