Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
(5x^2+9x-2)/(x^2-5x-14)
y/(y+2)+(1/(4-y^2)-1/(4-4*y+y^2))/(2/(y-2)^2)
1/(2*sqrt(x))
x/(x^2+2*x-3)
Factor polynomial:
x^2+3
x^4-x
x*y^3-x^3*y^2
x^2-1
Least common denominator:
4*x^(3/2)/3+2*sqrt(x)+x^5/5+e^(5*x^3+1)/15
z*((-z)*log(x)/c+z*log(y)/c)
(z*z-1/2*z)/(z*z-z+1)*z/(z-1/2)
-x^2/(x-2)^2+2*x/(x-2)
Factor squared:
y^4+y^2+2
y^4+y^2-15
y^4-y^2-5
-y^4+8*y^2-8
Identical expressions
(5x^ two +9x- two)/(x^ two -5x- fourteen)
(5x squared plus 9x minus 2) divide by (x squared minus 5x minus 14)
(5x to the power of two plus 9x minus two) divide by (x to the power of two minus 5x minus fourteen)
(5x2+9x-2)/(x2-5x-14)
5x2+9x-2/x2-5x-14
(5x²+9x-2)/(x²-5x-14)
(5x to the power of 2+9x-2)/(x to the power of 2-5x-14)
5x^2+9x-2/x^2-5x-14
(5x^2+9x-2) divide by (x^2-5x-14)
Similar expressions
(5x^2+9x-2)/(x^2+5x-14)
(5x^2+9x-2)/(x^2-5x+14)
(5x^2+9x+2)/(x^2-5x-14)
(5x^2-9x-2)/(x^2-5x-14)

How do you (5x^2+9x-2)/(x^2-5x-14) in partial fractions?

You have entered [src]

   2          
5*x  + 9*x - 2
--------------
 2            
x  - 5*x - 14

$$\frac{\left(5 x^{2} + 9 x\right) - 2}{\left(x^{2} - 5 x\right) - 14}$$

(5*x^2 + 9*x - 2)/(x^2 - 5*x - 14)

General simplification [src]

-1 + 5*x
--------
 -7 + x

$$\frac{5 x - 1}{x - 7}$$

(-1 + 5*x)/(-7 + x)

Fraction decomposition [src]

5 + 34/(-7 + x)

$$5 + \frac{34}{x - 7}$$

      34  
5 + ------
    -7 + x

Common denominator [src]

      34  
5 + ------
    -7 + x

$$5 + \frac{34}{x - 7}$$

5 + 34/(-7 + x)

Trigonometric part [src]

        2      
-2 + 5*x  + 9*x
---------------
        2      
 -14 + x  - 5*x

$$\frac{5 x^{2} + 9 x - 2}{x^{2} - 5 x - 14}$$

(-2 + 5*x^2 + 9*x)/(-14 + x^2 - 5*x)

Assemble expression [src]

        2      
-2 + 5*x  + 9*x
---------------
        2      
 -14 + x  - 5*x

$$\frac{5 x^{2} + 9 x - 2}{x^{2} - 5 x - 14}$$

(-2 + 5*x^2 + 9*x)/(-14 + x^2 - 5*x)

Powers [src]

        2      
-2 + 5*x  + 9*x
---------------
        2      
 -14 + x  - 5*x

$$\frac{5 x^{2} + 9 x - 2}{x^{2} - 5 x - 14}$$

(-2 + 5*x^2 + 9*x)/(-14 + x^2 - 5*x)

Rational denominator [src]

        2      
-2 + 5*x  + 9*x
---------------
        2      
 -14 + x  - 5*x

$$\frac{5 x^{2} + 9 x - 2}{x^{2} - 5 x - 14}$$

(-2 + 5*x^2 + 9*x)/(-14 + x^2 - 5*x)

Numerical answer [src]

(-2.0 + 5.0*x^2 + 9.0*x)/(-14.0 + x^2 - 5.0*x)

(-2.0 + 5.0*x^2 + 9.0*x)/(-14.0 + x^2 - 5.0*x)

Combining rational expressions [src]

-2 + x*(9 + 5*x)
----------------
-14 + x*(-5 + x)

$$\frac{x \left(5 x + 9\right) - 2}{x \left(x - 5\right) - 14}$$

(-2 + x*(9 + 5*x))/(-14 + x*(-5 + x))

Combinatorics [src]

-1 + 5*x
--------
 -7 + x

$$\frac{5 x - 1}{x - 7}$$

(-1 + 5*x)/(-7 + x)