Question

1. For a cubic equation, $ax^3 + bx^2 + cx + d = 0$. The following formula gives its general solution is available (https://sciencing.com/solve-cubic-equations-8136094.html). $x = (q + [q^2 + (r - p^2)^3]^{1/2})^{1/3} + (q - [q^2 + (r - p^2)^3]^{1/2})^{1/3} + p$ where $q = p^3 + \frac{bc - 3ad}{6a^2}$ $p = \frac{-b}{3a}$ $r = \frac{c}{3a}$ Write C code for this formula, and use it to solve two examples that you choose.

          1. For a cubic equation,
$ax^3 + bx^2 + cx + d = 0$.
The following formula gives its general solution is available (https://sciencing.com/solve-cubic-equations-8136094.html).
$x = (q + [q^2 + (r - p^2)^3]^{1/2})^{1/3} + (q - [q^2 + (r - p^2)^3]^{1/2})^{1/3} + p$
where
$q = p^3 + \frac{bc - 3ad}{6a^2}$
$p = \frac{-b}{3a}$
$r = \frac{c}{3a}$
Write C code for this formula, and use it to solve two examples that you choose.

1. For a cubic equation,
ax^3 + bx^2 + cx + d = 0.
The following formula gives its general solution is available (https://sciencing.com/solve-cubic-equations-8136094.html).
x = (q + [q^2 + (r - p^2)^3]^1/2)^1/3 + (q - [q^2 + (r - p^2)^3]^1/2)^1/3 + p
where
q = p^3 + (bc - 3ad)/(6a^2)
p = (-b)/(3a)
r = (c)/(3a)
Write C code for this formula, and use it to solve two examples that you choose.

Added by Tanya D.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Manisha Sarker

Step 1

```c #include <stdio.h> #include <math.h> #include <complex.h> double complex* solve_cubic(double a, double b, double c, double d, double complex* roots) { // Handle the case where a = 0 (not a cubic equation) if (a == 0) { printf("Error: Not a Show more…

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For a cubic equation: ax^3 + bx^2 + cx + d = 0. The following formula gives its general solution (source: https://sciencing.com/solve-cubic-equations-8136094.html): d + e/T(z/T[g(zd-u)+zb]-b) + 8/I(z/1[g(zd-a)+zb]+b) = x where: p = 3a q = 3a r = 3a Write C code for this formula and use it to solve two examples that you choose.