Answer:
328
Step-by-step explanation:
(4x − 16)^½ = 36
Square both sides:
4x − 16 = 36²
4x − 16 = 1296
Solve for x:
4x = 1312
x = 328
The required solution for the equation [tex](4x-16)^{1/2} = 36[/tex] is x = 328.
Solution of the equation [tex](4x-16)^{1/2} = 36[/tex] to be determined.
the equation is the relationship between variables and contains an equal sign.
[tex](4x-16)^{1/2} = 36\\[/tex]
Squaring both sides
[tex](4x-16)^{1/2*2} = 36^2\\4x-16=1296[/tex]
Add 16 to both sides
[tex]4x-16+16 = 1296+16\\4x=1312[/tex]
Divide by 4 both sides
[tex]4x/4=1312/4\\x=328[/tex]
Thus, the required solution for the equation [tex](4x-16)^{1/2} = 36[/tex] is x = 328.
Learn more about the equation here:
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