Solve
quadratic equation by factoring
( easy math)
Example 1
:
Solve the following equation
X2 + 11 x + 28 =0
the answer :
( x + 4) (x + 7 ) =0
X + 4 = 0 or
x + 7 = 0
X = - 4 x = - 7
the solution to
this equation = { - 4 , - 7 }
Example 2
:
Solve the following equation
X2 - 9 x + 20 =0
the answer :
( x - 4) (x - 5 ) =0
X - 4 = 0 or
x - 5 = 0
X =
4 x = 5
the solution to
this equation = { 4 , 5 }
Example 3
:
Solve the following equation
X2 - 2 x - 35 =0
the answer :
( x + 5) (x - 7 ) =0
X + 5 = 0 or
x - 7 = 0
X = - 5 x = 7
the solution to
this equation = { - 5 , 7 }
Example 4
:
Solve the following equation
X2 - 36 =0
the answer :
( x + 6) (x - 6 ) =0
X + 6 = 0 or
x - 6 = 0
X = - 6 x = 6
the solution to
this equation = { - 6 , 6 }
Example 5
:
Solve the following equation
X2 + 3 x =0
the answer :
x
(x + 3 ) =0
X
= 0 or x + 3 = 0
X = 0 x = - 3
the solution to
this equation = { 0 , - 3 }
Example 6
:
Solve the following equation
X2 – 5 x = 0
2
the answer :
x
(2 x – 5 ) = 0
X
= 0 or 2 x - 5 = 0
X = 0 x = 5/2
the solution to
this equation = { 0 , 5/2 }
Example 7
:
Solve the following equation
X ( x + 2 ) = 24
the answer :
x2 + 2 x – 24 =0
( x - 4) (x + 6 ) =0
X - 4 = 0 or
x + 6 = 0
X =
4 x = - 6
the solution to
this equation = { 4 , - 6 }
Example 8
:
Solve the following equation
X + 3 )2 = 100)
the answer :
we have the square root
( x + 3) = 10 or
(x + 3 ) = -10
X = 10 -3 x = - 10 - 3
X = 7 x = - 13
the solution to
this equation = { 7 , - 13 }
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