Solve {l}{f(x)=x^3+4x^2-10}{x=6.7321}

$$\left. \begin{array}{l}{ f ( x ) = x ^ { 3 } + 4 x ^ { 2 } - 10 }\\{ x = 6.7321 }\end{array} \right.$$

Solve for f, x

$$x=6.7321$$

$$f = \frac{476391332957161}{6732100000000} = 70\frac{5144332957161}{6732100000000} \approx 70.764149813$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$f\times 6.7321=6.7321^{3}+4\times 6.7321^{2}-10$$

Calculate 6.7321 to the power of 3 and get 305.106651317161.

$$f\times 6.7321=305.106651317161+4\times 6.7321^{2}-10$$

Calculate 6.7321 to the power of 2 and get 45.32117041.

$$f\times 6.7321=305.106651317161+4\times 45.32117041-10$$

Multiply 4 and 45.32117041 to get 181.28468164.

$$f\times 6.7321=305.106651317161+181.28468164-10$$

Add 305.106651317161 and 181.28468164 to get 486.391332957161.

$$f\times 6.7321=486.391332957161-10$$

Subtract 10 from 486.391332957161 to get 476.391332957161.

$$f\times 6.7321=476.391332957161$$

Divide both sides by 6.7321.

$$f=\frac{476.391332957161}{6.7321}$$

Expand \frac{476.391332957161}{6.7321} by multiplying both numerator and the denominator by 1000000000000.

$$f=\frac{476391332957161}{6732100000000}$$

The system is now solved.

$$f=\frac{476391332957161}{6732100000000} x=6.7321$$