SOLUTION: State the value of the descriminant & describe the nature of the roots in 5x^2=4x+6

Algebra.Com
Question 300627: State the value of the descriminant & describe the nature of the roots in 5x^2=4x+6
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Get every term to the left side.


From we can see that , , and


Start with the discriminant formula.


Plug in , , and


Square to get


Multiply to get


Rewrite as


Add to to get


Since the discriminant is greater than zero, this means that there are two real solutions.

RELATED QUESTIONS

The question states: Find the descriminant and the nature of the roots for 4x^2+2x+5=0. (answered by Earlsdon)
state the value of the discriminant, then describe the nature of the solution of... (answered by jim_thompson5910)
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 discriminate and then describe the... (answered by belle3833)
Determine the nature of the roots of:... (answered by ewatrrr)
State the value of the discriminant and then describe the nature of the solutions... (answered by jim_thompson5910)
State the value of the discriminant, and the describe the nature of solutions:... (answered by ilana)
Describe the nature of the roots of the following quadratic:... (answered by solver91311)
state the descriminant for... (answered by richwmiller,drk)