SOLUTION: I need to find the value of the discriminant and the nature of the solutions 5x^2-7x-3=0 Is there 2 imaginary solutions? One real solution? Or two real solutions?

Algebra ->  Rational-functions -> SOLUTION: I need to find the value of the discriminant and the nature of the solutions 5x^2-7x-3=0 Is there 2 imaginary solutions? One real solution? Or two real solutions?       Log On


   

Question 298913: I need to find the value of the discriminant and the nature of the solutions
5x^2-7x-3=0
Is there 2 imaginary solutions?
One real solution? Or two real solutions?
Answer by TX911(36) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant is calculated from the numbers under the radical sign of the quadratic formula, that is to say the discriminant= %28b%5E2-4%2Aa%2Ac%29
So for your particular problem:%287%5E2-4%2A5%2A-3%29 which should equal 119 if my calculation is correct.
Rules of discriminants and their solutions:
if b^2-4ac >0 = Two unequal real solutions
if b^2-4ac = 0 = One real solution
if b^2-4ac <0 = no real solutions or two imaginary solutions.
So in this case, obviously 119 > 0 so you have 2 real solutions!
Hope this helps!