Friday 31 May 2013

radicals - Solving Equations with Roots and Absolute Values

I'm preparing for the ACTM State contest, and I stumbled across this problem:



Which of the following is the sum of the tens digit and the units digit of the solution of the following equation?



$$15-2\sqrt{x-18} = 0.5 |x+14|-20$$



I know how to solve radical equations and absolute value equations, but I'm not familiar on how to solve an equation with both. Can anyone help me out?

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