SOLUTION: {{{3y^2+7y+1=0}}}

Question 215248:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!

The following will solve the quadratic equation with the quadratic formula given as

where a=3, b=7 and c=1.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=37 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.152872911616963, -2.18046042171637. Here's your graph:

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS
(3y^4)-(7y^2)+1=0 (answered by josgarithmetic)

{{{ 3y^2-7y-5=0... (answered by jim_thompson5910,checkley71)

3y-5=7y-2 (answered by Mathtut)

-3( - 2 - 3y ) =... (answered by rfer,MathTherapy)

3y+2>7y (answered by zoomkaboom4)

{x^2-3y^2=-1... (answered by Fombitz)

How do you solve... (answered by edjones,checkley75)

1) 3x=7y+2;(2,3) 2) 11=3y+2x (answered by 332915)

Factor 3y^2 + 7y +... (answered by stanbon)