Calcolatrice di Formula quadratica

Here, we show you a step-by-step solved example of quadratic formula. This solution was automatically generated by our smart calculator:

Find the roots of the equation using the Quadratic Formula

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=1$, $b=6$ and $c=8$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

To obtain the two solutions, divide the equation in two equations, one when $\pm$ is positive ($+$), and another when $\pm$ is negative ($-$)

Subtract the values $2$ and $-6$

Subtract the values $-6$ and $-2$

Divide $-4$ by $2$

Divide $-8$ by $2$

Combining all solutions, the $2$ solutions of the equation are