Solve (104/100)^2=(101/100 x)*(101/100)

Evaluate

(\frac{104}{100})^{2} = \frac{101}{100} x \times \frac{101}{100}

Cancel out the common factor 4

(\frac{26}{25})^{2} = \frac{101}{100} x \times \frac{101}{100}

Multiply the numbers

More Steps

(\frac{26}{25})^{2} = \frac{10201}{10000} x

Swap the sides of the equation

\frac{10201}{10000} x = (\frac{26}{25})^{2}

Calculate

\frac{10201}{10000} x = \frac{2 6 ^{2}}{2 5 ^{2}}

Multiply by the reciprocal

\frac{10201}{10000} x \times \frac{10000}{10201} = \frac{2 6 ^{2}}{2 5 ^{2}} \times \frac{10000}{10201}

Multiply

x = \frac{2 6 ^{2}}{2 5 ^{2}} \times \frac{10000}{10201}

Solution

More Steps

x = \frac{10816}{10201}

Alternative Form

x \approx 1.060288

Solve the equation