Solve {l}{y=8x^3-2x^2-7x+3}{x=0.645899}

$$\left. \begin{array} { l } { y = 8 x ^ { 3 } - 2 x ^ { 2 } - 7 x + 3 } \\ { x = 0.645899 } \end{array} \right.$$

Solve for y, x

$$x=0.645899$$

$$y=-0.199986364237938408$$

Solution Steps

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

$$y=8\times 0.645899^{3}-2\times 0.645899^{2}-7\times 0.645899+3$$

Calculate 0.645899 to the power of 3 and get 0.269459709020507699.

$$y=8\times 0.269459709020507699-2\times 0.645899^{2}-7\times 0.645899+3$$

Multiply 8 and 0.269459709020507699 to get 2.155677672164061592.

$$y=2.155677672164061592-2\times 0.645899^{2}-7\times 0.645899+3$$

Calculate 0.645899 to the power of 2 and get 0.417185518201.

$$y=2.155677672164061592-2\times 0.417185518201-7\times 0.645899+3$$

Multiply -2 and 0.417185518201 to get -0.834371036402.

$$y=2.155677672164061592-0.834371036402-7\times 0.645899+3$$

Subtract 0.834371036402 from 2.155677672164061592 to get 1.321306635762061592.

$$y=1.321306635762061592-7\times 0.645899+3$$

Multiply -7 and 0.645899 to get -4.521293.

$$y=1.321306635762061592-4.521293+3$$

Subtract 4.521293 from 1.321306635762061592 to get -3.199986364237938408.

$$y=-3.199986364237938408+3$$

Add -3.199986364237938408 and 3 to get -0.199986364237938408.

$$y=-0.199986364237938408$$

The system is now solved.

$$y=-0.199986364237938408 x=0.645899$$