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: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
Simplifying
Multiply $-4$ times $8$
Calculate the power $6^2$
Add the values $36$ and $-32$
Calculate the power $\sqrt{4}$
Simplifying
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
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