SOLUTION: Hi would you please help me solve my homework problem. Use the quadratic formula to solve the following equation. y=5(14-y)/3(y+1) My teacher said the answer is : -4+ sqr

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hi would you please help me solve my homework problem. Use the quadratic formula to solve the following equation. y=5(14-y)/3(y+1) My teacher said the answer is : -4+ sqr      Log On


   

Question 921395: Hi would you please help me solve my homework problem.
Use the quadratic formula to solve the following equation.
y=5(14-y)/3(y+1)
My teacher said the answer is : -4+ sqrt of 226/3 , -4- sqrt of 226/3
Would you please show me the steps on how to solve this problem. Thank you.
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Remove the division symbol or add the proper grouping symbols.

One could only guess that you have this:
y=%285%2814-y%29%2F%283%29%29%28y%2B1%29
3y=5%2814-y%29%28y%2B1%29
5%2814y-y%5E2%2B14-y%29=3y
5%2813y-y%5E2%2B14%29=3y
65y-15y%5E2%2B70=3y
62y-15y%5E2%2B70=0
-62y%2B15y%5E2-70=0
highlight_green%2815y%5E2-62y-70=0%29

Next find the discriminant.
%28-62%29%5E2-4%2815%29%28-70%29
62%5E2%2B60%2A70
62%5E2%2B4200
8044
Try factoring this discriminant,
8044=4%2A2011

y=%2862%2B-+2%2Asqrt%282011%29%29%2F%282%2A15%29
y=%2831%2B-+sqrt%282011%29%29%2F15

This does not agree with what you teacher stated.
Look for any mistakes in my steps; otherwise, what where you really given?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Hi would you please help me solve my homework problem.
Use the quadratic formula to solve the following equation.
y=5(14-y)/3(y+1)
My teacher said the answer is : -4+ sqrt of 226/3 , -4- sqrt of 226/3
Would you please show me the steps on how to solve this problem.
***
y=5(14-y)/3(y+1)
y=(70-5y)/(3y+3)
3y^2+3y=70-5y
3y^2+8y-70=0
Quadratic formula:
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=3, b=8, c=-70
y+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A3%2A-70+%29%29%2F%282%2A3%29+
y+=+%28-8+%2B-+sqrt%28+64%2B840+%29%29%2F%286%29+
y+=+%28-8+%2B-+sqrt%28+904+%29%29%2F%286%29+
y+=+%28-8+%2B-+sqrt%28+4%2A226+%29%29%2F%286%29+
y+=+%28-8+%2B-+2sqrt%28+226+%29%29%2F%286%29+
divide top and bottom by 2
y+=+%28-4+%2B-+sqrt%28+226+%29%29%2F%283%29+