Find the exact real root for the equation $10x^3-12x^2-6x-1=0$.
The given cubic cannot be factored easily and beautifully, so the method of factoring the given polynomial is out of the question.
I hear you, the next best approach might be to try out the substitution method, with the hope that after the substitution, we have less variable terms in our newly set equation. But there seems no suitable substitution is available so to make simpler the given equation.
Showing posts with label multiply. Show all posts
Showing posts with label multiply. Show all posts
Olympiad Algebra Problem: Evaluate $ax^5+by^5$
Olympiad Algebra Problem:
If $a,\,b,\,x,\,y\in R$ such that
$ax +by =7$
$ax^2+by^2=49$
$ax^3+by^3=133$
$ax^4+by^4=406$
Evaluate $ax^5+by^5$.
If $a,\,b,\,x,\,y\in R$ such that
$ax +by =7$
$ax^2+by^2=49$
$ax^3+by^3=133$
$ax^4+by^4=406$
Evaluate $ax^5+by^5$.
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