SOLUTION: Please solve and show work: 7/4 + 2/3 y^2 = 13y/6

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Question 776677: Please solve and show work:
7/4 + 2/3 y^2 = 13y/6

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

LCM of the denominators is 12. so multiply equation by 12


21+8y^2=26y
8y^2-26y+21=0
Find the roots of the equation by quadratic formula
iiiii
a= 8 , b= -26 , c= 21

b^2-4ac= 676 + -672
b^2-4ac= 4



y1=( 26 + 2 )/ 16
y1= 1.75

y2=( 26 -2 ) / 16
y2= 1.50
y= 1.75 & 1.50

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