EQUATIONS
-An equation states the equality of two algebraic
expressions. The algebraic expressions may be stated in
terms of one or more variables.
-- Thesolution of an equation consist of those numbers
which, when substituted for the variables, make the
equation true. The numbers, or values of the variables,
which make the equation true are referred to as the
roots of the equations.
-First Degree Equations in One
Variable
Solve the exercises
- Second Degree Equations in
One Variable (Quadratic
Equations)
- A second degree equation involving the variable x has the generalized
form
ax bx c 0
2
Where a,b, and c are constants with the added provision that a 0 .
Second-degree equations are usually called quadratic equations.
-A quadratic equation can have no real roots, one real root, or two real
roots.
- If the left side of the quadratic equation can
be factored, the roots can be identified very
easily. ( Factoring methods )
-When the quadratic expression cannot be
factored, or if you are unable to identify the
factors, you can apply the quadratic formula. The
quadratic formula will allow you to identify all
roots of an equation of the form.
-- Discriminant : The values of the discriminant
helps us determine the number of roots of a
quadratic equation.