Enter an equation or problem

Camera input is not recognized!

No solutions found

Try this:

Check out our <a href="/en/terms-and-topics/formatting-guide/">formatting guide</a>
Check out our formatting guide
Check your input for typos
Contact us
Let us know how we can solve this better

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

Rearrange:

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

x^2/64+y^2/100-(1)=0

Step 1 :

             y²
 Simplify   ———
            100

Equation at the end of step 1 :

   (x²)     y²     
  (———— +  ———) -  1  = 0 
    64     100     
 Step  2  :
            x²
 Simplify   ——
            64

Equation at the end of step 2 :

   x²     y²     
  (—— +  ———) -  1  = 0 
   64    100

Step 3 :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       64

      The right denominator is :       100

Number of times each prime factor
appears in the factorization of:
Prime Factor	Left Denominator	Right Denominator	L.C.M = Max {Left,Right}
2	6	2	6
5	0	2	2
Product of all Prime Factors	64	100	1600

Least Common Multiple:
1600

Calculating Multipliers :

3.2    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 = 25

   Right_M = L.C.M / R_Deno = 16

Making Equivalent Fractions :

3.3 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.      x² • 25
   ——————————————————  =   ———————
         L.C.M              1600  

   R. Mult. • R. Num.      y² • 16
   ——————————————————  =   ———————
         L.C.M              1600

Adding fractions that have a common denominator :

3.4 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:

 x² • 25 + y² • 16     25x² + 16y²
 —————————————————  =  ———————————
       1600               1600

Equation at the end of step 3 :

  (25x² + 16y²)    
  ————————————— -  1  = 0 
      1600

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 1600 as the denominator :

         1     1 • 1600
    1 =  —  =  ————————
         1       1600

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

 (25x²+16y²) - (1600)     25x² + 16y² - 1600
 ————————————————————  =  ——————————————————
         1600                    1600

Trying to factor a multi variable polynomial :

4.3 Factoring 25x² + 16y² - 1600

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Equation at the end of step 4 :

  25x² + 16y² - 1600
  ——————————————————  = 0 
         1600

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:

  25x²+16y²-1600
  —————————————— • 1600 = 0 • 1600
       1600

Now, on the left hand side, the 1600 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
25x²+16y²-1600 = 0

Solving a Single Variable Equation :

5.2 Solve 25x²+16y²-1600 = 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.