The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.
The given equation is:
[tex](4x-16)^{1/2} = 36[/tex]
The solution of an equation is to find out the numeric value of the variable such that Left-hand side and Right-hand side becomes equal.
Squaring both sides of the given equation.
[tex][(4x-16)^{1/2} ]^2= (36)^2[/tex]
[tex]4x-16 = 36^{2}[/tex]
[tex]4x -16 =1296[/tex]
[tex]4x =1296+16[/tex]
[tex]4x = 1312[/tex]
x= 328
Therefore, The solution of the given equation [tex](4x-16)^{1/2} = 36[/tex] is 328.
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