Math and Arithmetic
Statistics
Algebra

# What does discriminant mean?

012 ###### 2015-12-17 14:24:42

In mathematics a discriminant is a function which enables you to discriminate between various possible solutions or types of solutions.

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## Related Questions The discriminant tells you how many solutions there are to an equation The discriminant is b2-4ac For example, two solutions for a equation would mean the discriminant is positive. If it had 1 solution would mean the discriminant is zero If it had no solutions would mean that the discriminant is negative  If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts With the standard notation, If b2 &lt; 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 &gt; 4ac then the discriminant is positive b2-4ac is the discriminant of a quadratic equation.    The discriminant can be positive, zero or negative. If you mean b^2 -4ac then it is the discriminant of a quadratic equation. If the discriminant equals 0 then the equation has 2 equal roots. If the discriminant is greater than 0 then the equation has 2 different roots. If the discriminant is less than 0 then it has no real roots. Yes, if the discriminant is zero, then there will be a double root, which will be real.Also, If the discriminant is positive, there will be two distinct real solutions. But if the discriminant is negative, then you will have two complex solutions. If the discriminant of a quadratic equation is zero then it has equal roots. If the discriminant is greater than zero then there are two different roots. If the discriminant is less than zero then there are no real roots. The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.    The real roots of what, exactly? If you mean a square trinomial, then: If the discriminant is positive, the polynomial has two real roots. If the discriminant is zero, the polynomial has one (double) real root. If the discriminant is negative, the polynomial has two complex roots (and of course no real roots). The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac. That depends on the values of the polynomial but in general:- If the discriminant is greater than zero it has 2 solutions If the discriminant is equal to zero then it has 2 equal solutions If the discriminant is less than zero it has no solutions  The discriminant, for what it is worth in an example such as this, is 11.   General form of a quadratic equation is: ax2+b+c = 0 The discriminant is: b2-4ac If the discriminant equals zero then there are two equal roots If the discriminant is greater than zero then there are two different roots If the discriminant is less than zero then there are no real roots b^2 - 4ac, the discriminant will tell you that a quadratic equation may have one real solution( discriminant = 0 ) , two real solutions( discriminant &gt; 0 ), or no real solutions( discriminant &lt; 0 ). The discriminant of x^2 + 6 - 16 = discriminant of x^2 - 10 is 40.

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