SOLUTION: compute the discriminant. then determine the number and type of solutions for the given equation. 7x2-4x+4=0 what is the discriminant?

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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?
Found 2 solutions by Alan3354, nerdybill:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The onsite solver covers that.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -96 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -96 is + or - .

The solution is , or
Here's your graph:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
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

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