What is the answer to |((x^2-5x+4))/((x^2-4))|=1 ?

The answer to |((x^2-5x+4))/((x^2-4))|=1 is x=0,x= 8/5 ,x= 5/2

Solve for x: |((x^2-5x+4))/((x^2-4))|=1

The solution is x=0,x= 8/5 ,x= 5/2

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\frac{( x ^{2} - 5 x + 4 )}{( x ^{2} - 4 )} = 1

x = 0, x = \frac{8}{5}, x = \frac{5}{2}

Decimal Notation

x = 0, x = 1.6, x = 2.5

Solution steps

\frac{( x ^{2} - 5 x + 4 )}{( x ^{2} - 4 )} = 1

Simplify

\frac{x ^{2} - 5 x + 4}{x ^{2} - 4} : \frac{x ^{2} - 5 x + 4}{∣ x ^{2} - 4 ∣}

\frac{x ^{2} - 5 x + 4}{∣ x ^{2} - 4 ∣} = 1

Multiply both sides by

x^{2} - 4

x^{2} - 5 x + 4 = x^{2} - 4

Solve

x^{2} - 5 x + 4 = x^{2} - 4 : x = 0 or x = \frac{8}{5} or x = \frac{5}{2}

x = 0, x = \frac{8}{5}, x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = 0, x = \frac{8}{5}, x = \frac{5}{2}

a - b = \frac{a + 1}{a x}

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

\frac{( x - 4.8 )}{x} = 0.18

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

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

What is the answer to |((x^2-5x+4))/((x^2-4))|=1 ?
The answer to |((x^2-5x+4))/((x^2-4))|=1 is x=0,x= 8/5 ,x= 5/2
Solve for x: |((x^2-5x+4))/((x^2-4))|=1
The solution is x=0,x= 8/5 ,x= 5/2