Solve {l}{y=8x^3-2x^2-7x+3}{x=0.645902}

$$\left. \begin{array} { l } { y = 8 x ^ { 3 } - 2 x ^ { 2 } - 7 x + 3 } \\ { x = 0.645902 } \end{array} \right.$$

Solve for y, x

$$x=0.645902$$

$$y=-0.199985077547113536$$

Solution Steps

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

$$y=8\times 0.645902^{3}-2\times 0.645902^{2}-7\times 0.645902+3$$

Calculate 0.645902 to the power of 3 and get 0.269463463707610808.

$$y=8\times 0.269463463707610808-2\times 0.645902^{2}-7\times 0.645902+3$$

Multiply 8 and 0.269463463707610808 to get 2.155707709660886464.

$$y=2.155707709660886464-2\times 0.645902^{2}-7\times 0.645902+3$$

Calculate 0.645902 to the power of 2 and get 0.417189393604.

$$y=2.155707709660886464-2\times 0.417189393604-7\times 0.645902+3$$

Multiply -2 and 0.417189393604 to get -0.834378787208.

$$y=2.155707709660886464-0.834378787208-7\times 0.645902+3$$

Subtract 0.834378787208 from 2.155707709660886464 to get 1.321328922452886464.

$$y=1.321328922452886464-7\times 0.645902+3$$

Multiply -7 and 0.645902 to get -4.521314.

$$y=1.321328922452886464-4.521314+3$$

Subtract 4.521314 from 1.321328922452886464 to get -3.199985077547113536.

$$y=-3.199985077547113536+3$$

Add -3.199985077547113536 and 3 to get -0.199985077547113536.

$$y=-0.199985077547113536$$

The system is now solved.

$$y=-0.199985077547113536 x=0.645902$$