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Question

Help?

anonymous · Answer

attachment

astrophysics · Answer

Use the same steps I showed you for your last problem, it's basically the same.

astrophysics · Answer

Start off by multiplying both sides by $$\sqrt{x-2}$$

anonymous · Answer

x=18(19+105‾‾‾‾√)
x≈3.655868845745

astrophysics · Answer

Huh?

anonymous · Answer

............ i did that on mathway.com

anonymous · Answer

Astro- sorry I just don't get it.

astrophysics · Answer

You want to isolate x, so our first step is to move squareroot(x-2) to the right side so it'll be easier for us and to do that we multiply both sides so it gets canceled on the left and we multiply it on the right.

$$\sqrt{3x}=2(\sqrt{x-2})$$

next we square both sides to eliminate the square root symbols, why do we square you ask? Essentially square root is the same as the exponent 1/2

$$\sqrt{3x} = (3x)^{1/2}$$ and when you square you get 2*1/2 = 1 :) so it's gone

$$3x=4(x-2)$$

now distribute 4 on the right side

$$3x=4x-8$$

collect like terms, -4x on both sides (we want the terms with x together)

$$-x = -8 $$

divide by -1 now on both sides since we want x on its own

$$x = \frac{ -8 }{ -1 } = 8$$

astrophysics · Answer

Let me know if a certain step doesn't make sense.