SOLUTION: /graphs of quadratic equations/ Please help me evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation. {{{y=x^2+8

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: /graphs of quadratic equations/ Please help me evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation. {{{y=x^2+8      Log On


   

Question 211938This question is from textbook Intoductery Algebra
: /graphs of quadratic equations/
Please help me evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation.
y=x%5E2%2B8x%2B16
Thank you. This question is from textbook Intoductery Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant in this equation is:
%288%5E2-4%281%29%2816%29%29+=+0
When the discriminant is zero, the equation has a double root.
x%5E2%2B8x%2B16+=+0 Factor.
%28x%2B4%29%28x%2B4%29+=+0 so...
x+=+-4 or x+=+-4 a double root.
graph%28400%2C400%2C-10%2C5%2C-5%2C5%2Cx%5E2%2B8x%2B16%29