Consider quadratic function q(x) = (m+1)x² + (2m – 1)x + m. Find all values of parameter m such that a) q(x) has two different real solution b) q(x) has only one real solution c) q(x) has no real solution
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
e) the product of the real roots becomes −1
f) the sum of the real roots becomes equal to the product of the roots
g) If x1 and x2 are the roots of q(x) find the following values
1. x1 + x2 and x1x2
2. x
2
1 + x
2
2
3. 1
x1
+
1
x2
4. x1
x2
+
x2
x1
5. x
3
1 + x
3
2
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