SOLUTION: Find the solution set for N. 6n^2 + 13n + 6 = 0 a. (2/3, 3/2) b. (2/3, -3/2) c. (-2/3, -3/2) d. (-2/3, 3/2)

Question 220175: Find the solution set for N.
6n^2 + 13n + 6 = 0
a. (2/3, 3/2)
b. (2/3, -3/2)
c. (-2/3, -3/2)
d. (-2/3, 3/2)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for n:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=6, b=13, and c=6

Square 13 to get 169

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 6 to get 12

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or

RELATED QUESTIONS
(6n^3)^2... (answered by richard1234)

Find the solution set of the inequality: |4t+6|≤14 A.{t: 2< t < 5} (answered by lynnlo)

2(n+4)=8-6(n-4) 2n+8=8 -6n+24 -6n+2n=-4n 8+24 -4n + 32 -4n/4=32/4 n=8 NOT ON MY... (answered by ewatrrr)

2-3(6+5n)<-6n+20 (answered by jim_thompson5910)

(6n-5)^(1/3)+3=-2 (answered by Fombitz)

What is the solution set of the equation? (2x+4)/(x+2) = 2x/3 A. {3, -2} B. {-2} (answered by ewatrrr,MathLover1)

What is the answer for 4n^3+24n^2-49n-294 I got: (n^3+6n^2) (-n-6) (answered by stanbon)

Which of the ordered pairs is a solution for the equation 2x � 3y = 6? A) (0, 2) B)... (answered by funmath)

Perform the operations and simplify: 3n^2+5n-2/12n^2-13n+3 /... (answered by Fombitz)