Q: How do I know if my answer to a quadratic equation is correct?Ī: You can check your answer by plugging it back into the original quadratic equation and ensuring that the equation satisfies the roots. Q: Can a quadratic equation have more than two real roots?Ī: No, a quadratic equation can have at most two real roots. Q: What if a is equal to zero in the quadratic equation?Ī: If a is equal to zero in the quadratic equation, you will end up with a linear equation, which can be solved by basic algebraic methods. However, it has two complex conjugate roots. The solutions are (-3+0j) and (-2+0j) FAQs: Q: What will happen if the value under the square root term in the quadratic formula is negative?Ī: If the value under the square root term in the quadratic formula is negative, the equation has no real roots. Print('The solutions are '.format(sol1,sol2)) Here is an example Python program that will solve a quadratic equation using the quadratic formula: import cmath Python Program to Solve a Quadratic Equation: Square root both sides of the equation.Add and subtract the square of half the coefficient of x to the left-hand side of the equation.Divide the entire equation by the coefficient of x^2.Move the constant to the right side of the equation.The steps involved in completing the square are: In this formula, a, b, and c are constants, and the plus/minus symbol indicates that there can be two possible values of x.Ĭompleting the square is a method used to solve quadratic equations by turning them into a perfect square. The formula is represented as: x = (-b ± √(b^2 - 4ac)) / 2a The quadratic formula is a well-known formula in mathematics, which is used to find the roots of a quadratic equation. Quadratic equations can be solved by various methods, but the two primary methods are completing the square and using the quadratic formula. The value of x that satisfies the equation is known as the root(s) of the equation. These equations take the form: ax^2 + bx + c = 0 Quadratic equations are algebraic expressions in which the highest exponent is 2.
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