Question 1089911
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<pre>
9y^2 = 6y + 7  ====> 

9y^2 - 6y = 7  ====>

9y^2 - 2*3y + 1 = 7 + 1

(3y - 1)^2 = 8  ====>

3y - 1 = +/- {{{sqrt(8)}}}

3y = 1 +- {{{2*sqrt(2)}}}


y = {{{(1 +- 2*sqrt(2))/3}}}.
</pre>

Solved.



To see more examples/samples of solved problems of this type, look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/HOW-TO-solve-quadratic-equation-by-completing-the-square-Learning-by-examples.lesson>HOW TO solve quadratic equation by completing the square - Learning by examples</A> 

in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this textbook under the topic "<U>Quadratic equations</U>".