Final answer to the problem
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 $a=3$, $b=6$ and $c=-24$. 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.
$x=\frac{-6\pm \sqrt{6^2-4\cdot 3\cdot -24}}{2\cdot 3}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 3x^2+6x+-24=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=3, b=6 and c=-24. 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 18 and -6.