SOLUTION: I'm being asked to solve for x (find the roots) of this equation: {{{ 3x^3+2x^2+75x-50=0 }}} I've tried factor theorem but I can't get it to equal 0. I tried factoring by g

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Question 1132136: I'm being asked to solve for x (find the roots) of this equation:


I've tried factor theorem but I can't get it to equal 0. I tried factoring by grouping but I can't make that work because of the sign on the last term. Help please?
Found 3 solutions by josgarithmetic, MathLover1, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!






If Rational Root Theorem did not help, either try a numerical method or a graphing tool. There is one real root near about 0.65.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



use Newton-Raphson

’

Let
than









≈ => one real solution

you also have complex roots:
≈
≈

Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.

            I used the polynomial roots finder from the site

            https://www.mathportal.org/calculators/polynomials-solvers/polynomial-roots-calculator.php

            Below are the results from this site:


Result 

The roots of the polynomial  3x^3 + 2x^2 + 75 - 50  are:


    x1 = 0.64485

    x2 = −0.65576+5.0414∗i

    x3 = −0.65576−5.0414∗i


Explanation

This polynomial has no rational roots that can be found using Rational Root Test.

Roots were found using qubic formulas.


If you want to get more results/explanations, go to this site and explore it . . .



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