Quadratic Equations

Introduction to Quadratic Equations

Any equation of the form ax2 + bx + c = 0 is a quadratic equation, where a, b, and c are real numbers and a is not equal to 0 is called a quadratic equation.
If a and b are the roots for any equation, then (x – a) and (x – b) will be the factors of the equation.
An algebraic expression of
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Solution of Quadratic Equations

A number ? is said to be the root of a quadratic equation ax2 + bx + c = 0, if a?2 + b? + c = 0.
A quadratic polynomial can have at most two zeroes. Any quadratic equation can have at most two roots.
A quadratic equation has exactly two roots: equal or distinct; real or imaginary.
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Linear Inequations

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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. He
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