Solve 2*1.433^3+1.433^2+5/3*1.433^2+2*1.433

$$\frac{ 2 \times { 1.433 }^{ 3 } + { 1.433 }^{ 2 } +5 }{ 3 \times { 1.433 }^{ 2 } +2 \times 1.433 }$$

Evaluate

$$\frac{6469394237}{4513233500}\approx 1.433427771$$

Solution Steps

Calculate 1.433 to the power of 3 and get 2.942649737.

$$\frac{2\times 2.942649737+1.433^{2}+5}{3\times 1.433^{2}+2\times 1.433}$$

Multiply 2 and 2.942649737 to get 5.885299474.

$$\frac{5.885299474+1.433^{2}+5}{3\times 1.433^{2}+2\times 1.433}$$

Calculate 1.433 to the power of 2 and get 2.053489.

$$\frac{5.885299474+2.053489+5}{3\times 1.433^{2}+2\times 1.433}$$

Add 5.885299474 and 2.053489 to get 7.938788474.

$$\frac{7.938788474+5}{3\times 1.433^{2}+2\times 1.433}$$

Add 7.938788474 and 5 to get 12.938788474.

$$\frac{12.938788474}{3\times 1.433^{2}+2\times 1.433}$$

Calculate 1.433 to the power of 2 and get 2.053489.

$$\frac{12.938788474}{3\times 2.053489+2\times 1.433}$$

Multiply 3 and 2.053489 to get 6.160467.

$$\frac{12.938788474}{6.160467+2\times 1.433}$$

Multiply 2 and 1.433 to get 2.866.

$$\frac{12.938788474}{6.160467+2.866}$$

Add 6.160467 and 2.866 to get 9.026467.

$$\frac{12.938788474}{9.026467}$$

Expand \frac{12.938788474}{9.026467} by multiplying both numerator and the denominator by 1000000000.

$$\frac{12938788474}{9026467000}$$

Reduce the fraction \frac{12938788474}{9026467000} to lowest terms by extracting and canceling out 2.

$$\frac{6469394237}{4513233500}$$

Factor

$$\frac{25717 \cdot 251561}{1433 \cdot 6299 \cdot 2 ^ {2} \cdot 5 ^ {3}} = 1\frac{1956160737}{4513233500} = 1.4334277712420596$$