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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 $a=\frac{35}{2}$, $b=1303.9776$ and $c=41665.9392$. 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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$x=\frac{1303.9776+\pm 2148.714342}{35}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 35/2x^2+814986/625x-26041212/625=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=\frac{35}{2}, b=1303.9776 and c=41665.9392. 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 2148.714342 and 1303.9776. Subtract the values 1303.9776 and 2148.714342.