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Title: Factoring, Root Method, and The Quadratic Equation
Description: Vivid examples of factoring, using the root method and using the quadratic equation.
Description: Vivid examples of factoring, using the root method and using the quadratic equation.
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Section 15 and 16: Complex Numbers
Part 1: Quadratic Equations
A quadratic equation can be solved in many ways,
but here are the main ones
2
1) Factoring –
use when you have x
+ bx + c = 0
a) Determine what 2 numbers will add up to
‘b’ and multiply to get ‘c’
b) Put these numbers in factor form, using the
following: (x – #)(x – #)
c) Set both factors equal to zero and solve
2
2) Root Method –
use when you have ax
+ b = c
a) Get rid of ‘b’ through inverse operation
b) Divide by ‘a’
c) Square root the answer
(Use the “ in the
+
”
solution
...
)
Part 2: QuadraticLike Equations
A ‘quadraticlike’ equation is one where the
n
equation is set up as 2n
Ax
+ Bx
+ C = 0
, where ‘n’
can be any number
To solve, you use a method called substitution:
1) Replace 2nwith the variable 2, and replace
‘x
’
“u
”
n
‘xwith
’ “u”
2) Solve as a quadratic equation
3) When you get the results, set nequal to each
‘x
’
result and solve for “x”
Ex
Title: Factoring, Root Method, and The Quadratic Equation
Description: Vivid examples of factoring, using the root method and using the quadratic equation.
Description: Vivid examples of factoring, using the root method and using the quadratic equation.