SOLUTION: Please help me solve this problem. Show that the equation {{{ 5x^3+3x+2=0}}} lacks rational solutions Thanks in advance!

Question 766253: Please help me solve this problem.
Show that the equation lacks rational solutions
Thanks in advance!
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
Show that the equation lacks rational solutions
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A:
In , a = 5, b =3 and c = 2.
The discriminant is = = -31 < 0.
If the discriminant is less than zero, then the quadratic equation lacks real
number solutions. Rational numbers is a subset of real numbers so the quadratic equation also lacks rational solutions.
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