SOLUTION: Solve by completing the square {{{x^2+(7/2) x=7}}}
Algebra
->
Quadratic Equations and Parabolas
-> SOLUTION: Solve by completing the square {{{x^2+(7/2) x=7}}}
Log On
Quadratics: solvers
Quadratics
Practice!
Practice
Answers archive
Answers
Lessons
Lessons
Word Problems
Word
In Depth
In
Click here to see ALL problems on Quadratic Equations
Question 130753
:
Solve by completing the square
Answer by
jim_thompson5910(35256)
(
Show Source
):
You can
put this solution on YOUR website!
Start with the given equation
Take half of the x coefficient
to get
(ie
).
Now square
to get
(ie
)
Now add and subtract this value inside the parenthesis. Doing both the addition and subtraction of
does not change the equation
Factor
to get
Add
to both sides
Combine the fractions
Take the square root of both sides
Break up the root
Take the square root of 16 to get 4
Subtract
from both sides
Combine the fractions
So the equation breaks down to
or
---------------------------------------------
Answer:
So our solutions are
or