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brilliants [131]
3 years ago
6

Please help me solve

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

x=45 degree

Step-by-step explanation:

tan X=1

X=tan^{-1}1

X=45 degree

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Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.
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Do recall that squaring and the *radical sign* cancel each other out... like so:(\sqrt{a})^{2}= a

When you put it that way, it isn't enough :P
(\sqrt{a})^{2}= a
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so you start with
(\sqrt{8x+1})^{2}= (5)^{2}
8x+1=25 <-- subtract 1 to both sides
8x=24 <- divide 8 to both sides
x= 3

To find out if it's an extraneous solution ask yourself: It mustn't result in a radical that I like to call... 'illegal'. Plug it into the radicand 8x+1 and make sure you get something that is not a negative number.... so, DO you get a negative number when you plug in x = 3 into the radicand?

(extraneous solution is a invalid solution)

x=3 not extraneous


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