Final Answer
Step-by-step Solution
Specify the solving method
To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=1$, $b=8$ and $c=8$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
Learn how to solve quadratic equations problems step by step online.
$w=\frac{-8\pm \sqrt{8^2-4\cdot 8}}{2}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation w^2+8w+8=0. 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=8 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. 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 4\sqrt{2} and -8.