SOLUTION: I have worked out the quadratic equation for x= -3q^2+150q, where q is quantity. The question asks what is the quantity is if x = 150? So I'm basically being asked what is q? I g

Algebra.Com
Question 1043584: I have worked out the quadratic equation for
x= -3q^2+150q, where q is quantity. The question asks what is the quantity is if x = 150? So I'm basically being asked what is q? I got:
q= 5(5 - radical 7) / 3 , q= 5(5 + radical 7) / 3
q=3.92375, q=12.74292.
But I don't know if that's the final answer to the question, or do I have to pick one of those two decimals?
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Solved in
https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.1043586.html

https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.1043586.html


Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Apparently you made a mistake with the quadratic formula:

x = -3q2+150q 

substitute 150 for x

150 = -3q2+150q

Get 0 on the right side:

3q2-150q+150 = 0

To make it easier to solve, divide every 
term on both sides by 3 -- since you can!:

q2-50q+50 = 0

a=1, b=-50, c=50














 




 and 

 and 

Both answer are correct, so give them both.  You should
try to find out where you went wrong, so that you won't 
make the same mistake in other problems.

Edwin
RELATED QUESTIONS

I have worked out the quadratic equation for x= -3q^2+150q, where q is quantity. The... (answered by ikleyn)
Hi, I have the following question and I don't know what to do. It is the demand for... (answered by Hook)
If the supply function for a commodity is 11p+3q=66 and the demand function is 2p^2... (answered by robertb)
Question: The demand curve a firm faces is p(q) = 5q^-0.5 where q is the quantity... (answered by robertb,richard1234)
So for this question(All the roots of x^2 + px + q = 0 are real, where p and q are real... (answered by ikleyn)
Need help solving the following rational equation,... (answered by richard1234)
Directions: Give the total amount of the mix that results and the percent concentration... (answered by chessace)
Suppose that the quantity supplied S and the quantity demanded D of baseball caps at a... (answered by josmiceli)
Good Day, Got no reply to this question. The demand curve for a swivel chair is given... (answered by MathLover1,Theo)