How to Solve a Cubic Equation

This article was co-authored by David Jia and by wikiHow staff writer, Christopher M. Osborne, PhD. David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

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In a cubic equation, the highest exponent is 3, the equation has 3 solutions/roots, and the equation itself takes the form a x 3 + b x 2 + c x + d = 0 +bx^+cx+d=0> . [1] X Research source While cubics look intimidating and unlike quadratic equation is quite difficult to solve, using the right approach (and a good amount of foundational knowledge) can tame even the trickiest cubics. You can try, among other options, using the quadratic formula, finding integer solutions, or identifying discriminants.