SOLUTION: Determine the nature of the solutions of the equation. y^2 = 3/2y + 2/7 a. 1 real solution b. 2 non-real solutions c. 2 real solutions I am confused about the fractio

Question 132222: Determine the nature of the solutions of the equation.
y^2 = 3/2y + 2/7
a. 1 real solution
b. 2 non-real solutions
c. 2 real solutions
I am confused about the fractions number one and how to determine how many real or non-real solutions there are. Can someone please help?
This is not from a textbook.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
y^2 = 3/2y + 2/7
Rearrange:
y^2-(3/2)y - (2/7)
a= 1, b = -3/2 , c = 2/7
discriminant: b^2 - 4ac
(3/2)^2 -4*1*(-2/7)
9/4 + 8/7
(63+32)/(4*7)
= 95/28
This is greater than zero so there are
2 real solutions.
-------------------------
Cheers,
Stan H.
=========================
a. 1 real solution
b. 2 non-real solutions
c. 2 real solutions

RELATED QUESTIONS
Determine the nature of the solutions of the equation x2-4=0. A: 1 real solution... (answered by jsmallt9)

Determine the nature of the solution of the equation. x^2+6=0 A) 2 real solutions B) 2 (answered by Fombitz)

Determine the nature of the solution of the equation. 7t^2-8t=0 A) 2 real solutions B) (answered by solver91311)

determine the nature of the solutions of the equation t^2-6t=0 A) 2 real solutions... (answered by solver91311)

Determine the nature of the solutions of the equation. x^2 - 4x + 6 = 0 The... (answered by stanbon)

I need help: Determine the nature of the solution x^2+10x+25=0 a)two non-real... (answered by sudhanshu_kmr)

Determine the nature of the equation, 6t2-8t=0 a) 2 imaginary solutions b) 2 real (answered by Fombitz)

Determine the nature of the solutions of the equation. y^2=1/4y + 5/3 Pick one of... (answered by solver91311)

Determine the nature of the solutions of the equation. x^2-2x+5=0 The equation has A. (answered by Tatiana_Stebko)