The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
If the discriminant is greater than zero, there are two solutions. If the discriminant is less than zero, there are no solutions and if the discriminant is equal to zero, there is one solution.
What is an example of discriminant?
Find the discriminant of the quadratic equation 2x2 - 3x + 8 = 0. Comparing the equation with ax2 + bx + c = 0, we get a = 2, b = -3, and c = 8. So the discriminant is, Δ OR D = b2 − 4ac = (-3)2 - 4(2)(8) = 9 - 64 = -55.
Why is it called the discriminant?
The argument (that is, the contents) of the square root, being the expression b2 − 4ac, is called the "discriminant" because, by using its value, you can "discriminate" between (that is, be able to tell the difference between) the various solution types.
Explaination:
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Answers & Comments
Answer:
Is this Solution of discriminant:
What is an example of discriminant?
Why is it called the discriminant?
Explaination:
That's all I hope you are learning of your lesson today thank you.
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