Quadratic Inequations

A quadratic equation in one variable is an equation in which the highest power of the variable is two.
Any equation of the form p(x) = 0, where p(x) is a polynomial of degree 2, is a quadratic equation.
The standard form of quadratic equation is: ax2 + bx + c = 0, where a is not equal to 0. Here x is a variable and a, b and c are real numbers.
If a quadratic polynomial has inequality sign, it is called quadratic inequality. The range of such an inequality can be found by the method of intervals.
Inequalities in fractions are different from equations in fractions.
Clearing of fractions by the method of cross multiplication in equations is quite different from the operation in inequalities.
Multiplication of both numbers of an inequality by a positive expression does not change the sense of the inequality, whereas multiplication by a negative expression reverses the sense of the inequality.

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