SOLUTION: {{{ 3x^2+5x-1=0 }}} Please help me solve this equation by completing the square

Question 134329This question is from textbook beginning algebra
:
Please help me solve this equation by completing the square This question is from textbook beginning algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Add to both sides

Factor out the leading coefficient

Take half of the x coefficient to get (ie ).

Now square to get (ie )

Now add and subtract this value inside the parenthesis. Doing both the addition and subtraction of does not change the equation

Now factor to get

Distribute

Multiply

Now add to both sides to isolate y

Combine like terms

Add to both sides

Divide both sides by

Reduce

Take the square root of both sides

Simplify

Subtract from both sides

Combine the fractions

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Answer:

So our solutions are

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