Solve x 4xx 3x25xx 5x x solve fracx 4x fracx 3x25x fracx 5x...

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Transcript

00:01 So we have 3 over x plus 4 plus 4 over x is equal to negative 5 over the x squared plus 4x.

00:08 Well, this x squared plus 4x.

00:10 That's definitely got to be factored.

00:13 So let's factor that.

00:14 So we have 3 over x plus 4 plus 4 over x is equal to negative 5 over.

00:23 Well, we've factored out an x.

00:24 We have x times the quantity x plus 4.

00:30 So now this x times x plus 4, that's going to actually be, that's our common denominator of our left -hand side.

00:36 So let's get that common denominator so we can then combine these two fractions.

00:43 And then what we're going to have is then, well, we're going to have two different numerators, but then everything's going to be over the same denominator.

00:52 And then we can set our numerators equal.

00:54 So what we're going to do is we're going to combine the 3 over x plus 4, plus 4 over x by getting a common denominator of x times x plus 4.

01:04 So multiplying 3 over x plus 4 by 1 in the form of x over x over x.

01:10 So we get 3x over x times x plus 4 plus plus well 4 over x plus 4 so we have plus 4 times the quantity, x plus 4 over x times x plus 4 is equal to negative 5 over x times x plus 4.

01:39 Okay, so now everything has the same denominator...

Question

Solve (x-4)/(x)+(x-3)/(x^(2)+5x)=(x-5)/(x). x= Solve $\frac{x-4}{x} + \frac{x-3}{x^2+5x} = \frac{x-5}{x}$ $x = \text{_____}$

Question

Solve (x-4)/(x)+(x-3)/(x^(2)+5x)=(x-5)/(x). x= Solve $\frac{x-4}{x} + \frac{x-3}{x^2+5x} = \frac{x-5}{x}$ $x = \text{_____}$

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