Final answer to the problem
$x=-2,\:x=-\frac{11}{4}$
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Step-by-step Solution
Learn how to solve quadratic formula problems step by step online. Solve the quadratic equation 24x^2+114x+132=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=24, b=114 and c=132. 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 -114.
Final answer to the problem
$x=-2,\:x=-\frac{11}{4}$
