Question

Solve the quadratic equation
(x-1/x-2)-(x-2/x-3) = (x-5/x-6)-(x-6/x-7)

Answer 1

Answer:

x - 6 Simplify ————— x - 7

Equation at the end of step  1  :

(x-1) (x-2) (x-5) (x-6) (—————-—————)-(—————-—————) = 0 (x-2) (x-3) (x-6) x-7

Step  2  :

x - 5 Simplify ————— x - 6

Equation at the end of step  2  :

(x-1) (x-2) (x-5) (x-6) (—————-—————)-(—————-—————) = 0 (x-2) (x-3) x-6 x-7

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       x-6 

      The right denominator is :       x-7 

                  Number of times each Algebraic Factor

            appears in the factorization of:    Algebraic    

    Factor     Left 

 Denominator  Right 

 Denominator  L.C.M = Max 

 {Left,Right}  x-6 101 x-7 011

      Least Common Multiple:

      (x-6) • (x-7) 

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 = x-7

   Right_M = L.C.M / R_Deno x - 6 Simplify ————— x - 7

Equation at the end of step  1  :

(x-1) (x-2) (x-5) (x-6) (—————-—————)-(—————-—————) = 0 (x-2) (x-3) (x-6) x-7

Step  2  :

x - 5 Simplify ————— x - 6

Equation at the end of step  2  :

(x-1) (x-2) (x-5) (x-6) (—————-—————)-(—————-—————) = 0 (x-2) (x-3) x-6 x-7

Step  3  :

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       x-6 

      The right denominator is :       x-7 

                  Number of times each Algebraic Factor

            appears in the factorization of:    Algebraic    

    Factor     Left 

 Denominator  Right 

 Denominator  L.C.M = Max 

 {Left,Right}  x-6 101 x-7 011

      Least Common Multiple:

      (x-6) • (x-7) 

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 = x-7

   Right_M = L.C.M / R_Deno = x-6

Answer 2

Step-by-step explanation:

I have sent the solution. Hope this helps you