Quadratic equations are a key component of GMAT Quant, testing not just your algebra skills but your logical reasoning. This guided path will teach you the core solving methods, crucial shortcuts, and the specific strategies needed for Data Sufficiency.
Start with the core definition of the quadratic equation and use our interactive verifier to understand what the "roots" of an equation represent.
Learn the step-by-step process of factoring quadratic expressions to find the roots. This is a crucial skill for speed and efficiency.
Master the universal tool for solving any quadratic equation. Our interactive calculator shows you how to apply the formula step by step.
Learn how the discriminant (b²-4ac) tells you the "nature" of the roots (2, 1, or 0 real roots) without solving the equation—a vital DS concept.
Learn the formulas for finding the sum (-b/a) and product (c/a) of the roots *without* solving, a critical time-saver for advanced questions.
Practice the skill of building a quadratic equation from a given set of roots, a common way this concept is tested.
Learn the complete method for solving quadratic inequalities by finding critical points and testing regions on a number line.
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