SOLUTION: We are studying Equations, Inequalities, and mathematical modeling. Question says to find ALL solutions of the equation. check your solution in original equation. I need help worki

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: We are studying Equations, Inequalities, and mathematical modeling. Question says to find ALL solutions of the equation. check your solution in original equation. I need help worki      Log On


   

Question 400026: We are studying Equations, Inequalities, and mathematical modeling. Question says to find ALL solutions of the equation. check your solution in original equation. I need help working this problem. Can you show me step-by-etep how to work and solve equation? equation: 6x^4-14x^2=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Factor out:



Use the Zero Product Rule, if and only if or

The factors of the LHS are:







The first two are trivial, namely

Set the third one equal to zero:







Note rationalization of the denominator.

That gives you a total of 4 roots (counting multiplicities) as is demanded of a 4th degree polynomial equation by the Fundamental Theorem of Algebra.

(multiplicity of 2)







John

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