Lesson OVERVIEW of my lessons on solving equations containing radicals

Source code of 'OVERVIEW of my lessons on solving equations containing radicals'

This Lesson (OVERVIEW of my lessons on solving equations containing radicals) was created by by ikleyn(52777)

: View Source, Show
About ikleyn:

<H2>OVERVIEW of my lessons on solving equations containing radicals</H2>

My lessons in this site on solving equations containing radicals are

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Radicals/Solving-equations-containing-radicals.lesson>HOW TO solve equations containing radicals</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Radicals/Advanced-problems-on-solving-equations-containing-radicals.lesson>Advanced problems on solving equations containing radicals</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Radicals/Solving-systems-of-equations-containing-radicals.lesson>Solving systems of equations containing radicals</A>

<H3>Below are short annotations to these lessons</H3>

<A HREF=https://www.algebra.com/algebra/homework/Radicals/Solving-equations-containing-radicals.lesson>HOW TO solve equations containing radicals</A>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 1. &nbsp;Solve an equation &nbsp;{{{root(3,2x-3) = 3}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 2. &nbsp;Solve an equation &nbsp;{{{sqrt(x-1)}}} + {{{sqrt(2x+6)}}} = {{{6}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 3. &nbsp;Solve an equation &nbsp;&nbsp;{{{sqrt(24-10x)}}} = {{{3-4x}}}, &nbsp;where 3-4x > 0.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 4. &nbsp;Solve an equation &nbsp;&nbsp;{{{4x - 11*sqrt(x) + 6}}} = {{{0}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 5. &nbsp;Solve an equation &nbsp;&nbsp;{{{z^2-6z+9}}} = {{{4*sqrt(z^2-6z+6)}}}.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 6. &nbsp;Solve an equation &nbsp;{{{root(2/3,x-2) - root(1/3,x-2) = 2}}}.

<A HREF=https://www.algebra.com/algebra/homework/Radicals/Advanced-problems-on-solving-equations-containing-radicals.lesson>Advanced problems on solving equations containing radicals</A>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 1. &nbsp;Solve an equation &nbsp;{{{sqrt(x)}}} + {{{sqrt(1-x)}}} + {{{sqrt(x*(1-x))}}} = 1.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 2. &nbsp;Solve an equation &nbsp;{{{sqrt(10-x)}}} + {{{sqrt(3+x)}}} + {{{2*sqrt(30+7x-x^2)}}} = 17.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 3. &nbsp;Solve an equation &nbsp;&nbsp;{{{(7 + sqrt(x))^(1/3)}}} + {{{(7 - sqrt(x))^(1/3)}}} = 2.

<A HREF=https://www.algebra.com/algebra/homework/Radicals/Solving-systems-of-equations-containing-radicals.lesson>Solving systems of equations containing radicals</A>

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 1. &nbsp;Find &nbsp;x &nbsp;and &nbsp;y &nbsp;&nbsp;if &nbsp;&nbsp;{{{x+y+ sqrt(x+y) = 20}}} &nbsp;&nbsp;and &nbsp;&nbsp;{{{x-y+ sqrt(x-y) = 12}}}.

Use this file/link &nbsp;<A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>&nbsp; to navigate over all topics and lessons of the online textbook &nbsp;ALGEBRA-I.