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Algebra Practice Question - 10 Video Lecture | Crash Course for GMAT

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FAQs on Algebra Practice Question - 10 Video Lecture - Crash Course for GMAT

1. What is the quadratic formula?
Ans. The quadratic formula is used to find the roots of a quadratic equation in the form ax^2 + bx + c = 0. It is given by x = (-b ± √(b^2 - 4ac)) / 2a.
2. How do you factor a quadratic equation?
Ans. To factor a quadratic equation, you can use methods such as grouping, the AC method, or trial and error to find two binomials that multiply to the original quadratic expression.
3. What is the difference between linear and quadratic equations?
Ans. Linear equations involve variables raised to the power of 1, while quadratic equations involve variables raised to the power of 2. This results in different shapes of graphs and methods for solving them.
4. How do you solve a system of equations involving a quadratic equation?
Ans. You can solve a system of equations involving a quadratic equation by substituting the quadratic equation into the other equation, then solving for the variables using methods like elimination or substitution.
5. Can a quadratic equation have complex roots?
Ans. Yes, a quadratic equation can have complex roots if the discriminant (b^2 - 4ac) is negative. In this case, the roots will be complex numbers of the form a ± bi.
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