SOLUTION: 7+3z^2=4z please help me determine he nature of the solution of this equaion would it be one real, two nonreal or two real???

Question 664207: 7+3z^2=4z please help me determine he nature of the solution of this equaion would it be one real, two nonreal or two real???
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
7 + 3z^2 = 4z
arrange is as a quadratic equation
3z^2 - 4z + 7 = 0
:
Using the form ax^2 + bx + c, we have a=3, b=-4, c=7
:
the discriminant determines if the roots are real
d = b^2 - 4*a*c
The rules are:
if d is greater than 0, two real roots
if d is equal to 0 a single root value
if d is less than 0 two complex number solutions (not real)
:
Find d using our equation
d = -4^2 - 4*3*7
d = 16 - 84
d = -16, so two non-real roots
:
:
you can use this to determine the nature of the roots on any quadratic equation
RELATED QUESTIONS
For the following equation, state the value of the discriminant and then describe the... (answered by Fombitz)

Determine the nature of the solutions of the equation. y^2=(1/5)y+(2/3); does it have 2... (answered by user_dude2008)

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

Help! I asked earlier and I have tried but I do not even understand the question. Can... (answered by ankor@dixie-net.com)

I am supposed to determine the nature of the solutions of the equation. Determine whther... (answered by jsmallt9)

Determine the nature of the solutions of the equation. y^2 = 3/2y + 2/7 a. 1 real... (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 solutions of the equation x^2-x+7=0 One real? Two... (answered by Mathtut)

Determine the nature of the solutions of the equation. x^2-14x+49=0 What does the... (answered by Fombitz)