SOLUTION: solve the soultion (12x-8)exponent2=54

Question 214781: solve the soultion
(12x-8)exponent2=54
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Take the square root of both sides.

or Break up the "plus/minus" to form two equations.

or Simplify the square root.

or Add to both sides.

or Divide both sides by 12 to isolate 'x'.

--------------------------------------

Answer:

So the solutions are or .

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(12x-8)exponent2=54
----------------
(12x-8)^2 = 54
---
144x^2 - 192x + 64 = 54
144x^2 - 192x + 10 = 0
72x^2 - 96x + 5 = 0
----
use the quadratic formula:
x = [96 +- sqrt(96^2 - 4*72*5)]/144
---
x = [96 +- sqrt(7776)]/144
x = [96 +- 88.182]/144
---
x = [96 + 88.182]/144 or x = [96-88.182]/144
---
x = 1.2790.. or x = 0.05429..
Cheers,
Stan H.
RELATED QUESTIONS
Solve 11-9y-9y<83. the soultion set... (answered by rfer)
How would solve: n exponent2-6n=-8? (answered by ReadingBoosters)
What is the soultion to the system of equations? y=3x or... (answered by Fombitz)
Solve... (answered by ewatrrr)
what is the soultion to... (answered by funmath)
what is the soultion of... (answered by gwendolyn)
graph the soultion set:... (answered by sofiyac)
can you explain to me how the problem {{{ 1/2x-8=14+1/2x}}} equals" no... (answered by jim_thompson5910)
Solve the inequality. Give the soultion set in both interval and graph forms. 5x-9/-3... (answered by Boreal)