Question 1051090
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Solve -x^2-3x+1=0 with clear steps so I can learn please! Thank you!
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<pre>
The equation is equivalent to 

{{{x^2 + 3x -1}}} = {{{0}}}.   ( After multiplying both sides by (-1) )

Apply the quadratic formula

{{{x[1,2]}}} = {{{(-3 +- sqrt(3^2 - 4*1*(-1)))/2}}} = {{{(-3 +- sqrt(9+4))/2}}} = {{{(-3 +- sqrt(13))/2}}}.

Thus  {{{x[1]}}} = {{{(-3 + sqrt(13))/2}}}, {{{x[2]}}} = {{{(-3 - sqrt(13))/2}}}.
</pre>

On quadratic formula, see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Introduction-Into-Quadratics.lesson>Introduction into Quadratic Equations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/proof-of-quadratic-by-completing-the-square.lesson>PROOF of quadratic formula by completing the square</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>.