Solve 2.87=1/2x*1.021^2

$$2.87= \frac{ 1 }{ 2 } x \times { 1.021 }^{ 2 }$$

Solve for x

$$x = \frac{5740000}{1042441} = 5\frac{527795}{1042441} \approx 5.506306832$$

Steps for Solving Linear Equation

Calculate 1.021 to the power of 2 and get 1.042441.

$$2.87=\frac{1}{2}x\times 1.042441$$

Convert decimal number 1.042441 to fraction \frac{1042441}{1000000}.

$$2.87=\frac{1}{2}x\times \frac{1042441}{1000000}$$

Multiply \frac{1}{2} times \frac{1042441}{1000000} by multiplying numerator times numerator and denominator times denominator.

$$2.87=\frac{1\times 1042441}{2\times 1000000}x$$

Do the multiplications in the fraction \frac{1\times 1042441}{2\times 1000000}.

$$2.87=\frac{1042441}{2000000}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1042441}{2000000}x=2.87$$

Multiply both sides by \frac{2000000}{1042441}, the reciprocal of \frac{1042441}{2000000}.

$$x=2.87\times \frac{2000000}{1042441}$$

Convert decimal number 2.87 to fraction \frac{287}{100}.

$$x=\frac{287}{100}\times \frac{2000000}{1042441}$$

Multiply \frac{287}{100} times \frac{2000000}{1042441} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{287\times 2000000}{100\times 1042441}$$

Do the multiplications in the fraction \frac{287\times 2000000}{100\times 1042441}.

$$x=\frac{574000000}{104244100}$$

Reduce the fraction \frac{574000000}{104244100} to lowest terms by extracting and canceling out 100.

$$x=\frac{5740000}{1042441}$$