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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 $a=32$, $b=-18$ and $c=-17$. 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 ($-$)
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$x=\frac{18+\pm 50}{64}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 32x^2-18x-17=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=32, b=-18 and c=-17. 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 18 and -50. Add the values 18 and 50.