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Though finding a discriminant for any polynomial is not so easy, there are formulas to find the discriminant of quadratic and cubic equations that make our work easier. When we consider the discriminant, or the expression under the radical, b 2 4 a c b2 − 4ac, it tells us whether the solutions are real numbers or complex numbers and how many solutions of each type to expect. Substitute the values of a, b and c after reading them from a quadratic equation of the form a𝑥2 + b𝑥 + c
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B2 = 9 and 4ac = 16 Example problems & solutions are included to test your knowledge. What is the discriminant of a quadratic equation
Learn how to find it with examples and diagram
Calculate the discriminant to determine the number and nature of the solutions of the following quadratic equation $$y = x² − 2x + 1 $$ Since the discriminant is zero, we should expect 1 real solution which you can see pictured in the graph below Use the discriminant to find out the nature and number of solutions
$$y = x² − x − 2 $$. Learn about using the discriminant for your a level maths exam This revision note covers what the discriminant is, and worked examples. Evaluate the result to find the discriminant
Learn how to use the discriminant to quickly determine the nature of quadratic equation roots (real, imaginary, and repeated)
Learn how to find the discriminant with this 100% free lesson from voovers
