a quadratic equation can have different types of roots. based on the discriminant value, the nature of roots are determined. they are: if d> 0, the roots are real and unequal if d = 0, the roots are real and equal if d < 0, the roots are not real (i.e., complex) free online...
The meaning of DISCRIMINANT is a mathematical expression providing a criterion for the behavior of another more complicated expression, relation, or set of relations.
When a, b, and c are real numbers, a ≠ 0 and the discriminant is zero, then the roots α and β of the quadratic equation ax2+ bx + c = 0 are real and equal.Case III: b2–4ac < 0 When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the...
(1) each individual is derived from a mutually exclusive group; (2) the variables are measured at the interval or ratio level; (3) variables within the analysis are not highly correlated; (4) multicollinearity is avoided; (5) the variance covariance matrices among groups are equal; and (6...
equal real roots.When△O,the equation hasreal roots.When△≥,the two roots of the equation are z1=_and x2=B.Fill in the blanks 3 In the quadratic equation in one variable x,ax 2+br +c = 0(a≠0), the discriminant △= _.When △is_,the equation has two distinct real roots....
Some theory for Fisher's linear discriminant function, `naive Bayes', and some alternatives when there are many more variables than observations On the Limiting Distribution of Roots of a Determinantal Equation 52 被引用·0 笔记 引用 被引用(9) ...
The polynomials B-m,B-k, C-m,C-k is an element of C[a(k)] are irreducible. The result is generalized to the case when P((m) )is replaced by a polynomial P-* := Sigma(n-m)(j=0) b(j)a(j)x(n-m-j) 0 not equal b(i) not equal b(j) not equal 0 for i not ...
matrixof this polynomial and its derivative. alternatively, we can express the discriminant as the determinant of a certain symmetric matrix, which is defined recursively. we use these approaches when we want to compute the discriminant and don't know the roots of the polynomial we are ...
13In the quadratic equation in one variable x,ax2+bx+c=O(a≠),the discriminant△=_.When△is_,the equation has two distinct real roots.When△isthe equation has two equal real roots.When△O,the equation hasreal roots.When△≥O,the two roots of the equation are x=and x2=3 In th...