Degree of an equation: The
highest power of the variable is called the degree of the equation.
For example,
1. x + 2 = 3 Þ equation
of degree one.
2. x2 + 2x + 3 = 0 Þ equation of degree
two.
3. x3 +
x2 + 4x - 2 = 0 Þ equation of degree
three.
4. xn +
2xn-2 + .... = 0 Þ equation of degree
n.
An equation of degree two is
called a Quadratic Equation.
A quadratic polynomial is any polynomial equivalent to one of the form ax2 + bx + c.
A quadratic equation is any equation equivalent to one of the form ax2 + bx + c = 0.
Roots of an equation: Roots
are those values of the variable parameter, which satisfies the equation.
Degree of an equation gives the number of maximum roots possible for that
equation.
By using formula:
If there is a quadratic
equation of the form, then the roots of the equation is given by,
Inequalities
As in equalities we get the
exact value of the variables in inequalities we don't. In inequalities we
can only get a range of values for the variable, which can satisfy the in
equation. In inequalities we do a relation comparison between the
variables.
For example, if a > b and
b > c then a > c. Here we don't know the values of a, b and c but we
can compare which one is greater than the other.
Examples
(A) 4 < x < 16
(B) –4 > x > –16
(C)
4 > x > –16
(D) x < 16
(E) –16 < x < 4
Þ -6 < (10 - x) <
6
Þ-16 < -x < -4
Þ 4 < x <
16 Hence, (A)
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