document.write( "Question 126919: Can someone please show me ALL the steps to do this????
\n" ); document.write( "Find the zero(s) of the function y=3(^-2(x-4)-sqrt27 without using technology.
\n" ); document.write( "Just to be clear, the exponent next to the three is -2(x-4).
\n" ); document.write( "I know the answer is x=13/4 but I don't understand completely and I would appreciate any help I can get :) \n" ); document.write( "

Algebra.Com's Answer #92964 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=3%5E%28-2%28x-4%29%29-sqrt%2827%29\"$
\n" ); document.write( " $\"3%5E%28-2%28x-4%29%29-sqrt%2827%29=0\"$ Set y=0.
\n" ); document.write( " $\"3%5E%28-2%28x-4%29%29=sqrt%283%2A3%2A3%29\"$ 27 is also 3*3*3.
\n" ); document.write( " $\"3%5E%28-2%28x-4%29%29=sqrt%283%5E3%29\"$ 3*3*3 is 3^3.
\n" ); document.write( " $\"3%5E%28-2%28x-4%29%29=%283%5E3%29%5E%281%2F2%29\"$ The square root is to the (1/2) power.
\n" ); document.write( " $\"3%5E%28-2%28x-4%29%29=3%5E%283%2F2%29\"$ The same base, the exponents must equal each other.
\n" ); document.write( " $\"-2%28x-4%29=3%2F2\"$ Set exponents equal to each other.
\n" ); document.write( " $\"x-4=-3%2F4\"$ Divide both sides by (-2).
\n" ); document.write( " $\"x=-3%2F4%2B4\"$ Add 4 to both sides.
\n" ); document.write( " $\"x=-3%2F4%2B16%2F4\"$ Add and subtract fractions, need same denominator.
\n" ); document.write( " $\"x=%28-3%2B16%29%2F4\"$ Same denominator, add or subtract numerators.
\n" ); document.write( " $\"x=13%2F4\"$ Final answer.\r
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