SOLUTION: For the following equation, state the value of the discriminant and then describe the nature of the solutions. -4x^2+4x+7=0 What is the value of the discriminant?

Question 265802: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
-4x^2+4x+7=0
What is the value of the discriminant?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The on-site solver covers this well.

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 : .

Discriminant d=128 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.914213562373095, 1.9142135623731. Here's your graph:

RELATED QUESTIONS
for the following equation, state the value of the discriminant and then describe the... (answered by algebrahouse.com)

please help for the following equation state the value of the discriminant and then... (answered by stanbon)

For the following equation, state the value of the discriminant and then describe the... (answered by rfer,mananth)

For the following equation, state the value of the discriminant and then describe the... (answered by solver91311)

State the value of the discriminant and then describe the nature of the solutions... (answered by jim_thompson5910)

for the following equation, state the value of the discriminant and then describe the... (answered by mananth)

For the following equation, state the value of the discriminant and then describe the... (answered by jim_thompson5910)

For the following equation, state the value of the discriminant and then describe the... (answered by stanbon)

for the following equation, state the value of the discriminant and then describe the... (answered by jim_thompson5910,solver91311)