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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=19$, $b=-518$ and $c=334$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
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$x=\frac{518\pm \sqrt{{\left(-518\right)}^2-4\cdot 19\cdot 334}}{2\cdot 19}$
Learn how to solve differential calculus problems step by step online. Solve the quadratic equation 19x^2-518x+334=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=19, b=-518 and c=334. 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 518 and -492.8894399.