SOLUTION: What is the value of the discriminant? 3x^2+10x-7=0 Also, what is the nature of the solutions? Are there 2 real solutions, 1 real solution, or 2 imaginary solutions?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the value of the discriminant? 3x^2+10x-7=0 Also, what is the nature of the solutions? Are there 2 real solutions, 1 real solution, or 2 imaginary solutions?      Log On


   

Question 222398: What is the value of the discriminant?
3x^2+10x-7=0
Also, what is the nature of the solutions? Are there 2 real solutions, 1 real solution, or 2 imaginary solutions?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Computing the Discriminant


From 3x%5E2%2B10x-7 we can see that a=3, b=10, and c=-7



D=b%5E2-4ac Start with the discriminant formula.



D=%2810%29%5E2-4%283%29%28-7%29 Plug in a=3, b=10, and c=-7



D=100-4%283%29%28-7%29 Square 10 to get 100



D=100--84 Multiply 4%283%29%28-7%29 to get %2812%29%28-7%29=-84



D=100%2B84 Rewrite D=100--84 as D=100%2B84



D=184 Add 100 to 84 to get 184



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