How do you (2x+5)/(x^2-2x+5) in partial fractions?

You have entered [src]

  2*x + 5   
------------
 2          
x  - 2*x + 5

$$\frac{2 x + 5}{\left(x^{2} - 2 x\right) + 5}$$

(2*x + 5)/(x^2 - 2*x + 5)

Fraction decomposition [src]

(5 + 2*x)/(5 + x^2 - 2*x)

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

  5 + 2*x   
------------
     2      
5 + x  - 2*x

General simplification [src]

  5 + 2*x   
------------
     2      
5 + x  - 2*x

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

(5 + 2*x)/(5 + x^2 - 2*x)

Trigonometric part [src]

  5 + 2*x   
------------
     2      
5 + x  - 2*x

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

(5 + 2*x)/(5 + x^2 - 2*x)

Numerical answer [src]

(5.0 + 2.0*x)/(5.0 + x^2 - 2.0*x)

(5.0 + 2.0*x)/(5.0 + x^2 - 2.0*x)

Assemble expression [src]

  5 + 2*x   
------------
     2      
5 + x  - 2*x

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

(5 + 2*x)/(5 + x^2 - 2*x)

Combinatorics [src]

  5 + 2*x   
------------
     2      
5 + x  - 2*x

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

(5 + 2*x)/(5 + x^2 - 2*x)

Common denominator [src]

  5 + 2*x   
------------
     2      
5 + x  - 2*x

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

(5 + 2*x)/(5 + x^2 - 2*x)

Rational denominator [src]

  5 + 2*x   
------------
     2      
5 + x  - 2*x

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

(5 + 2*x)/(5 + x^2 - 2*x)

Combining rational expressions [src]

   5 + 2*x    
--------------
5 + x*(-2 + x)

$$\frac{2 x + 5}{x \left(x - 2\right) + 5}$$

(5 + 2*x)/(5 + x*(-2 + x))

Powers [src]

  5 + 2*x   
------------
     2      
5 + x  - 2*x

$$\frac{2 x + 5}{x^{2} - 2 x + 5}$$

(5 + 2*x)/(5 + x^2 - 2*x)