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Mathematics 19 Online
OpenStudy (oswaldmurphy):

help me dad: http://prntscr.com/bvcsn4 PLEASE! I NEED HELP!

OpenStudy (shadowlegendx):

@Mehek14 = dad

OpenStudy (oswaldmurphy):

@Preetha @pooja195 @Jadeishere @ganeshie8

OpenStudy (marcelie):

@zepdrix

OpenStudy (oswaldmurphy):

@agent0smith

OpenStudy (agent0smith):

Just make the 'd' value some big-a.ss negative number, and the rest all small positive numbers.

OpenStudy (oswaldmurphy):

@agent0smith d -1000, and the rest 1,2,3 ? XD

OpenStudy (oswaldmurphy):

And I have to make 2 of them.

OpenStudy (agent0smith):

For the other, make it pretty much the same, but all positive.

OpenStudy (oswaldmurphy):

So, Part 1.) a = 1, b = 2, c = 3, d = -1000 second one, a = 1 b = 2 c = 3 d = 1000 ?

OpenStudy (agent0smith):

Sure. I mean you can make it easier to solve by making nice numbers and such, but meh that's fine

OpenStudy (oswaldmurphy):

Now part 2. How?

OpenStudy (agent0smith):

Get the square root by itself, the same way you'd get an x by itself. Add/subtract/divide etc on both sides.

OpenStudy (agent0smith):

Once you have the square root by itself, square both sides to get rid of it.

OpenStudy (oswaldmurphy):

I dont know how to do that. I am really bad at square roots

OpenStudy (agent0smith):

"Get the square root by itself, the same way you'd get an x by itself. " If you can get an x by itself in a regular equation, you can do the same here.

OpenStudy (oswaldmurphy):

D - B - C?

OpenStudy (oswaldmurphy):

Or, a\[\sqrt{x}\]= -1000 - 2 - 3?

OpenStudy (agent0smith):

It'd help a lot if you wrote out your equation here, with the equation editor

OpenStudy (oswaldmurphy):

Ok, let me do that, \[a \sqrt{x} = -1000 - 2 - 3\]

OpenStudy (agent0smith):

There was a number inside the square root, so no. Get the square root alone (do not touch anything inside it). Then square both sides.

OpenStudy (oswaldmurphy):

How Im sorry D:

OpenStudy (agent0smith):

First step is to write it correctly \[\large a \sqrt{x+b}+c = d\]Then get the square root by itself, the same way you'd get an x by itself in a simpler equation\[\large a \sqrt{x+b} = d-c \] \[\large \sqrt{x+b}= \frac{ d - c }{ a }\]Now you square both sides.

OpenStudy (agent0smith):

Once you square both sides, you just subtract b and you're done.

OpenStudy (oswaldmurphy):

So \[\sqrt{x^{2}} = \frac{ d-c }{ a } - b ^{2}\]

OpenStudy (agent0smith):

No, squaring cancels a square root entirely, leaving everything inside it unchanged\[\large \left( \sqrt{x+b}\right)^2= \left( \frac{ d - c }{ a } \right)^2\] \[\large x+b= \left( \frac{ d - c }{ a } \right)^2\]

OpenStudy (oswaldmurphy):

Thats the asnwer?

OpenStudy (oswaldmurphy):

So do I replace the letters with numbers and solve? Or keep it that way?

OpenStudy (agent0smith):

Well you're supposed to get the actual solutions lol, so yes put in your numbers. And don't forget of course, you still need to subtract b to finish.

OpenStudy (oswaldmurphy):

What is part 3?

OpenStudy (agent0smith):

Because if you show work correctly, at a certain point you'll have a square root equal to a negative - and that's never possible.

OpenStudy (oswaldmurphy):

Part 2.) Equation 1 is the extraneous solution. 1 _/x+2 + 3 = -1000 1_/x+2 = -1003 _/x+2 = -1003/1 X + 2 = -1003^2 X = -1005^2 Equation 2. 1 _/x + 2 + 3 = 1000 1_/x+2 = 997 _/x+2 = 998/1 X + 2 = 998/1^2 X = 996^2

OpenStudy (oswaldmurphy):

correct?

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