What is the answer to ((x-sqrt(6)))/((x+4))=0 ?

The answer to ((x-sqrt(6)))/((x+4))=0 is x=sqrt(6)

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((x-sqrt(6)))/((x+4))=0

\frac{( x - 6 )}{( x + 4 )} = 0

x = 6

Decimal Notation

x = 2.44948 \dots

Solution steps

\frac{( x - 6 )}{( x + 4 )} = 0

Simplify

\frac{( x - 6 )}{( x + 4 )} : \frac{x - 6}{x + 4}

\frac{x - 6}{x + 4} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x - 6 = 0

Move

6

to the right side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 6

2 x^{- 5} = (16)^{2}

(\frac{x + 1}{x})^{2} = \frac{4 + 3}{2 ( x - \frac{1}{x} )}

5 \frac{x}{x - 5} + ∣ x ∣ = \frac{x ^{2}}{∣ x - 5 ∣}

\frac{3}{4 \cdot m + 2 m} = 22

\frac{1}{4 \cdot m - 7} = 2

What is the answer to ((x-sqrt(6)))/((x+4))=0 ?
The answer to ((x-sqrt(6)))/((x+4))=0 is x=sqrt(6)
Solve for x: ((x-sqrt(6)))/((x+4))=0
The solution is x=sqrt(6)