SOLUTION: For the following eqaution, state the value of the discriminant and then describe the nature of the solutions. -8x^2-10x+2=0

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: For the following eqaution, state the value of the discriminant and then describe the nature of the solutions. -8x^2-10x+2=0      Log On


   

Question 336832: For the following eqaution, state the value of the discriminant and then describe the nature of the solutions. -8x^2-10x+2=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From -8x%5E2-10x%2B2 we can see that a=-8, b=-10, and c=2


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


D=%28-10%29%5E2-4%28-8%29%282%29 Plug in a=-8, b=-10, and c=2


D=100-4%28-8%29%282%29 Square -10 to get 100


D=100--64 Multiply 4%28-8%29%282%29 to get %28-32%29%282%29=-64


D=100%2B64 Rewrite D=100--64 as D=100%2B64


D=164 Add 100 to 64 to get 164


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


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my website.

Jim