- #1
marlon
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Can anyone solve the following equation ?
x^3 + 3x^2 +9x + 3 = 0
I don't find it
regards
marlon
x^3 + 3x^2 +9x + 3 = 0
I don't find it
regards
marlon
Muzza said:It doesn't appear to have any integer solutions, so you'll probably have to use the ugly cubic formula to get a (non-approximated) answer.
http://www.math.vanderbilt.edu/~schectex/courses/cubic/
To solve this polynomial equation, you can use the Rational Root Theorem to find possible rational roots. Then, use synthetic division or the remainder theorem to test each root until you find one that works. Once you have found one root, you can use polynomial long division or the quadratic formula to find the remaining roots.
No, the quadratic formula can only be used for equations in the form ax^2 + bx +c = 0, where a, b, and c are constants. This equation, x^3 + 3x^2 + 9x + 3 = 0, is a cubic equation and requires a different method to solve.
Unfortunately, there is no shortcut to solve this equation. Each equation may have a different method of solving, and it is important to understand the underlying principles and use them accordingly.
No, even if you rewrite the equation in this form, it is still a cubic equation and cannot be solved using the quadratic formula. You would still need to use the appropriate method for solving cubic equations.
This equation has three solutions, as it is a cubic equation. However, some solutions may be complex numbers. To find the exact number of real solutions, you can use the discriminant to determine the number of distinct real roots.