Question

find x if 2x=1\256 pls answer fast

Answer 1

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

2*x-(1/256)=0

Step by step solution :

STEP

1

:

1

Simplify ———

256

Equation at the end of step

1

:

1

2x - ——— = 0

256

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 256 as the denominator :

2x 2x • 256

2x = —— = ————————

1 256

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 :

2.2 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:

2x • 256 - (1) 512x - 1

—————————————— = ————————

256 256

Equation at the end of step

2

:

512x - 1

———————— = 0

256

STEP

3

:

When a fraction equals zero :

3.1 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:

512x-1

—————— • 256 = 0 • 256

256

Now, on the left hand side, the 256 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

512x-1 = 0

Solving a Single Variable Equation:

3.2 Solve : 512x-1 = 0

Add 1 to both sides of the equation :

512x = 1

Divide both sides of the equation by 512:

x = 1/512 = 0.002

One solution was found :

x = 1/512 = 0.002