Enter an equation or problem
Camera input is not recognized!

No solutions found

sad tiger

Try this:

We are constantly updating the types of the problems Tiger can solve, so the solutions you are looking for could be coming soon!

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "s1"   was replaced by   "s^1". 

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     1/f-(1/s^1/s)=0 

Step  1  :

            1
 Simplify   —
            s

Equation at the end of step  1  :

  1    1
  — -  — ÷ s  = 0 
  f    s

Step  2  :

         1      
 Divide  —  by  s
         s      

Multiplying exponential expressions :

 2.1    s1 multiplied by s1 = s(1 + 1) = s2

Equation at the end of step  2  :

  1     1
  — -  ——  = 0 
  f    s2

Step  3  :

            1
 Simplify   —
            f

Equation at the end of step  3  :

  1     1
  — -  ——  = 0 
  f    s2

Step  4  :

Calculating the Least Common Multiple :

 4.1    Find the Least Common Multiple

      The left denominator is :       f 

      The right denominator is :       s2 

                  Number of times each Algebraic Factor
            appears in the factorization of:
    Algebraic    
    Factor    
 Left 
 Denominator 
 Right 
 Denominator 
 L.C.M = Max 
 {Left,Right} 
 f 101
 s 022


      Least Common Multiple:
      fs2 

Calculating Multipliers :

 4.2    Calculate multipliers for the two fractions


    Denote the Least Common Multiple by  L.C.M 
    Denote the Left Multiplier by  Left_M 
    Denote the Right Multiplier by  Right_M 
    Denote the Left Deniminator by  L_Deno 
    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = s2

   Right_M = L.C.M / R_Deno = f

Making Equivalent Fractions :

 4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

   L. Mult. • L. Num.       s2
   ——————————————————  =   ———
         L.C.M             fs2

   R. Mult. • R. Num.       f 
   ——————————————————  =   ———
         L.C.M             fs2

Adding fractions that have a common denominator :

 4.4       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 s2 - (f)     s2 - f
 ————————  =  ——————
   fs2         fs2  

Trying to factor as a Difference of Squares :

 4.5      Factoring:  s2 - f 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 - AB + AB - B2 =
         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  s2  is the square of  s1 

Check :  f1   is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares

Equation at the end of step  4  :

  s2 - f
  ——————  = 0 
   fs2  

Step  5  :

When a fraction equals zero :

 5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  s2-f
  ———— • fs2 = 0 • fs2
  fs2 

Now, on the left hand side, the  fs2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   s2-f  = 0

Solving a Single Variable Equation :

 5.2     Solve   -f+s2  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

No solutions found

Why learn this

Latest Related Drills Solved