Solving a cubic equation

Answer

The problem is to solve for

in the equation

We can rewrite the equation as

This is a cubic equation. We can try integer values of

to see if we can find a solution by trial and error.

.
If

So,

is a solution.

Now we can perform polynomial division to find other solutions. Since

is a solution,

is a factor of

So,

Now we need to solve the quadratic equation

.
The discriminant is

.
Since the discriminant is negative, the quadratic equation has no real solutions.

Therefore, the only real solution is

Final Answer: The final answer is

Related math solutions

Rewrite y + 7 = 1/5(x + 10) in Slope-Intercept Form

Learn how to convert the linear equation y + 7 = 1/5(x + 10) into slope-intercept form by distributing and isolating y to get y = 1/5x - 5.

Find the Y-Value of a Linear Function at X = -3

This problem asks to determine the y-value for x = -3 on a linear function. The solution involves identifying the line's equation from its graph, which is y = 2x - 4, and then substituting x = -3 to find the corresponding y-value.

Finding the Minimum Point by Completing the Square for y = x^2 - 10x + 9

Learn how to find the minimum coordinates of the quadratic curve y = x^2 - 10x + 9 by using the method of completing the square to rewrite the equation in vertex form.

Finding Reflections Across the Axis of Symmetry

Learn how to find the reflections of given coordinate points across the vertical axis of symmetry x = -3 using horizontal distance formulas.

Solve the Rational Equation G/S = Y/2 for S

Solve the rational equation G/S = Y/2 for the variable S by cross-multiplying and isolating S to get S = 2G/Y.

Question

Answer

Related math solutions

Débloquez la version web à vie

Related math solutions