Question 302204
compute the discriminant. then determine the number and type of solutions for the given equation.
7x2-4x+4=0
what is the discriminant?
.
Given the quadratic:
ax^2 + bx + c = c
then the "discriminant" is:
b^2 - 4ac
.
So, for your equation:
7x^2-4x+4=0
b^2 - 4ac 
= (-4)^2 - 4(7)(4)
= 16 - 4(7)(4)
= 16 - 112
= -96
.
Since it is negative: No real solutions
(two imaginary solutions)
.
For additional info:
http://www.mathwarehouse.com/quadratic/discriminant-in-quadratic-equation.php