SOLUTION: Find (a) hte discriminant, (b) the number of solutions and (c) the nature of the solutions for 5x^2-7x-4=0

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find (a) hte discriminant, (b) the number of solutions and (c) the nature of the solutions for 5x^2-7x-4=0      Log On


   

Question 32743: Find (a) hte discriminant, (b) the number of solutions and (c) the nature of the solutions for 5x^2-7x-4=0
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
Discriminant is b^2-4ac (in ax^2+bx+c=0)
Here, a = 5, b = -7 and c= -4;
Discriminant = 49-4(5)(-4) = 49 + 80 = 129;
...........
Number of solutions are two because it is a quadratic equation and the discriminant != 0;
.........
Both solutions are real because the discriminant is positive;