SOLUTION: Solve the equation. Round the solutions to the nearest hundredth, if necessary. 1. {{{ 2(x-6)^2=24 }}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the equation. Round the solutions to the nearest hundredth, if necessary. 1. {{{ 2(x-6)^2=24 }}}       Log On


   

Question 880115: Solve the equation. Round the solutions to the nearest hundredth, if necessary.
1. +2%28x-6%29%5E2=24+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+2%28x-6%29%5E2=24+


+%28x-6%29%5E2=24%2F2+


+%28x-6%29%5E2=12+


+x-6=%22%22%2B-sqrt%2812%29+


+x-6=sqrt%2812%29+ or +x-6=-sqrt%2812%29+


+x-6=sqrt%284%2A3%29+ or +x-6=-sqrt%284%2A3%29+


+x-6=sqrt%284%29%2Asqrt%283%29+ or +x-6=-sqrt%284%29%2Asqrt%283%29+


+x-6=2%2Asqrt%283%29+ or +x-6=-2%2Asqrt%283%29+


+x=6%2B2%2Asqrt%283%29+ or +x=6-2%2Asqrt%283%29+ <--- Exact Solutions


+x=+9.46410161513776 or +x=2.53589838486224+ Use a calculator for this step.


+x=+9.46 or +x=2.54+ Rounding to the nearest hundredth


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The two solutions are approximately 9.46, 2.54