Mathematics: Add the given expressions, simplifying each result and noting the combined excluded values. 6/4+x + 4-x/x and the combined excluded values are the sum of the given expressions is x= and x=

Add the given expressions, simplifying each result

Ответ:

Domi0129

15.01.2022

Mathematics

The sum of the given expressions is $\frac{(2+x)(8-x)}{x(x+4)}$

x = 0 and x = -4

Step-by-step explanation:

we need to find the sum of the given expressions

$\frac{6}{4+x} +\frac{4-x}{x} \\= \frac{6*x+(4-x)(4+x)}{(4+x)*x} \\=\frac{6x+16-x^2}{x(x+4)} \\=\frac{16+6x-x^2}{x(x+4)} \\=\frac{(2+x)(8-x)}{x(x+4)}$

To find excluded values:

x ( 4 + x ) = 0

x = 0 and 4 + x = 0

∴ x = 0 and x = -4

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Add the given expressions, simplifying each result and noting the combined excluded values.
6/4+x + 4-x/x
and the combined excluded values are
the sum of the given expressions is
x= and x=

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