Question

72/x=x/128,find the value of x​

Answer 1

Answer:

Simplify ———

128

Equation at the end of step

1

:

72 x

—— - ——— = 0

x 128

STEP

2

:

72

Simplify ——

x

Equation at the end of step

2

:

72 x

—— - ——— = 0

x 128

STEP

3

:

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : x

The right denominator is : 128

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

2 0 7 7

Product of all

Prime Factors 1 128 128

Number of times each Algebraic Factor

appears in the factorization of:

Algebraic

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

x 1 0 1

Least Common Multiple:

128x

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 = 128

Right_M = L.C.M / R_Deno = x

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions