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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 $a=12$, $b=-19$ and $c=-21$. 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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$x=\frac{19+\pm 37}{24}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 12x^2-19x-21=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=12, b=-19 and c=-21. 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 19 and -37. Add the values 19 and 37.