SOLUTION: find the discriminant of 2x^2 + 9 = 4x and describe the nature of the roots of the equation. A)56; exactly one real root B)56; two distinct real roots C)-56; no real roots

Question 209052: find the discriminant of 2x^2 + 9 = 4x and describe the nature of the roots of the equation.
A)56; exactly one real root
B)56; two distinct real roots
C)-56; no real roots
D)-56; two distinct real roots
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
find the discriminant of 2x^2 + 9 = 4x and describe the nature of the roots of the equation.
A)56; exactly one real root
B)56; two distinct real roots
C)-56; no real roots
D)-56; two distinct real roots
--------------
This is covered well by the onsite solver.

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 -56 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 -56 is + or - .

The solution is , or
Here's your graph:

-----------
Discriminant = -56 --> no real roots

RELATED QUESTIONS
State the value of the discriminant, and the describe the nature of solutions:... (answered by ilana)

Find the discriminant and nature of the roots given the equation x^2 - 6x + 5 =... (answered by solver91311)

The nature of the roots of the equation 3x^4 + 4x^3 + x - 1 = 0 is _____. A. Three... (answered by MathLover1,greenestamps)

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

discriminant to determine the nature of the roots of x^2 + 2x + 5 = 0 discriminant to... (answered by richard1234)

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

Describe the nature of the roots of the equation x^2-4x+4=0, when I worked this problem... (answered by nerdybill)

find discriminant of the following quadratic equation and examine the nature of real... (answered by Edwin McCravy,Theo)

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