H left parenthesis x right parenthesis equals 2 x plus 1 g...

Name: h left parenthesis x right parenthesis equals 2 x plus 1 g left parenthesis x right parenthesis equals square root of 2 x plus 1 end root j left parenthesis x right parenthesis equals fraction numerat
Uploaded: 2021-02-23T21:57:35-08:00
Duration: 6 min 35 s
Channel: Lara Gossage
Description: h left parenthesis x right parenthesis equals 2 x plus 1 g left parenthesis x right parenthesis equals square root of 2 x plus 1 end root j left parenthesis x right parenthesis equals fraction numerat

h left parenthesis x right parenthesis equals 2 x plus 1 g left parenthesis x right parenthesis equals square root of 2 x plus 1 end root j left parenthesis x right parenthesis equals fraction numerator 2 x over denominator 2 x plus 1 end fraction k left parenthesis x right parenthesis equals square root of negative 2 x minus 1 end root

Transcript

00:01 So on these problems, it was written with words, left parentheses x, right parentheses, equals 2x plus 1.

00:11 And it wasn't really given a lot of direction in terms of what, to what extent, how far we were supposed to solve these for.

00:17 So i just went ahead and solved for x in these problems.

00:21 And so i have x equals 2x plus 1, get x is on one side, and get the numbers on the other.

00:27 So, arithmetically, the answer is negative 1 equals x.

00:31 Into the original equation, negative 1 equals question mark, 2 times negative 1 plus a 1, and then solve, and negative 1 equals a negative 1.

00:42 So that checks out for our first problem.

00:48 And then the second problem is on if we're looking at left parentheses, x right parentheses equals the square root of 2x plus 1, and then you end the root.

01:01 So what i did first was i squared both sides to get rid of square root and now i have x squared equals 2x plus 1 and then i solved as far as i could get it down with the x squared minus 2x minus 1 equals 0 and then solve using the quadratic formula which x in the quadratic formula equals a negative b plus or minus so there's actually two different sets of answers ones with the plus one with the minus and then you have the square root and this is of b squared minus 4 ac it's a minus 4 a c divided by 2a so on this i have x equals minus plus square root of 4 plus 4 divided by 2.

02:18 I also have as well a second answer of x equals a minus 2 minus square root of 4 plus 4 divided by 2.

02:31 And then on question j, x equals 2x divided by as a division because of the numerator and then the denominator and the denominator 2.

02:44 X plus 1.

02:45 I multiply both sides by the 2x plus 1, and i eliminate that whole thing, and it's no longer in a fraction, and then simplify and reduce, try to get it to its simplest terms.

02:58 And i was able to get as far to an answer of this x, and then x minus 1 equals 0.

03:08 So i'm not sure 100 % that that's the correct answer as far as i could get.

03:14 And then on letter k, we have a left for instance x right parentheses equals the square root...

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