QUADRATIC EQUATION - DEFINITION, SOLVING BY FACTORING AND BY QUADRATIC FORMULA
Math Equations before Quadratic Equation
if you have not already done so.
There, we gave introduction to equations and
explained various terms such as Open Sentence, Equation, Solution or Root(s) of an Equation, Domain of the variable and Kinds of Equations.
That knowledge is a prerequisite here.
Here, we deal with equations in which the highest
exponent of the varaible(s) present is two.
Quadratic Polynomial or Quadratic Expression :
a x 2 + b + x where c ( ≠ 0 ), a , b are constants which can take real number values,is called a Quadratic Polynomial or Quadratic Expression in c . x Quadratic Equation :
If the Quadratic polynomial or Expression is
equated to zero, it is called a Quadratic Equation.
a x 2 + b + x = 0 where c ( ≠ 0 ), a , b are constants which can take real number values, is called a Quadratic Equation. c Great Deals on School & Homeschool Curriculum Books
Methods to Solve a Quadratic Equation :
There are two methods, in general,
to solve a 2nd Degree equation.
Solving by Factoring The Method of Solution by
Solving by Factoring : Quadratic Equation
In the Solving by Factoring Method,
we factorize the quadratic polynomial, to get two linear factors and equate the product of the two linear factors to zero.
We know, if
a = 0, then either b = 0 or a = 0 or both. b Using this idea, we equate each of the two linear factors to zero and then solve the two
to get the two roots or solution of the 2nd degree equation.
We explained a five step method for factorization of
Quadratic Polynomials in
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We explained this five step method through Solved Examples, there.
We also gave some more problems
as an exercise with answers to check your understanding of the process.
Learning that method is a prerequisite here.
Please study them first, if you have not
already done so, and then come back here. I will wait for you.
We will take up the Quadratic Expressions
and equate the Quadratic Polynomials to zero to form the equations and solve them. They are given at the following Links.
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Set 1 of Solved Examples and Exercise
Set 2 of Solved Examples and Exercise
Set 3 of Solved Examples and Exercise
Set 4 of Solved Examples and Exercise
Set 5 of Solved Examples and Exercise
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