SOLUTION: Determine the nature of the solutions of the equation y^2=3/5 y+2/3 ^means it is raising to that power and / represents fractions. so it is 3(numerator) over 5(denominator) s

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Determine the nature of the solutions of the equation y^2=3/5 y+2/3 ^means it is raising to that power and / represents fractions. so it is 3(numerator) over 5(denominator) s      Log On


   

Question 470791: Determine the nature of the solutions of the equation
y^2=3/5 y+2/3
^means it is raising to that power and / represents fractions. so it is 3(numerator) over 5(denominator) same with the other fraction
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2=%283%2F5%29y%2B2%2F3
LCD = 15
15y%5E2=9y%2B10
15y%5E2-9y-10=0
Find the roots of the equation by quadratic formula

a= 15 b= -9 c= -10

b^2-4ac= 81 - 600
b^2-4ac= 681
sqrt%28%09681%29= 26.1
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=(9+26.1)/30
x1=1.17 ===> 7/6
x2=( 9 -26.1 ) / 30
x2= -0.57===> - 4/7