Question

The solution of the equation ax³ −bx²−c=−0 is ________.

A) x = 0
B) x = c/a
C) x = −b/a
D) x = −c/b

Answer 1

The solution to the equation ax³ − bx² − c=0 is x = 0, as x is the only value that will zero out the entire equation. This is a cubic equation and not a quadratic equation, hence it does not require the quadratic formula to find this particular solution. Option number a is correct.

Step-by-step explanation:

The solution to the equation ax³ − bx² − c = 0 is x = 0. This is seen by realizing that x = 0 is the only value which will satisfy the equation, making all terms 0 regardless of the coefficients a, b, and c.

Unlike quadratic equations, which take the form ax² + bx + c = 0 and have solutions that can be calculated using the quadratic formula, a cubic equation with the given format simplifies directly to x = 0, since factoring out x gives x(ax² - bx - c) = 0, which allows us to see that one of the roots is x = 0.