SOLUTION: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer ple

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer ple      Log On


   

Question 199571: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer please?
x^2-8x+16=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

From x%5E2-8x%2B16 we can see that a=1, b=-8, and c=16


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


D=%28-8%29%5E2-4%281%29%2816%29 Plug in a=1, b=-8, and c=16


D=64-4%281%29%2816%29 Square -8 to get 64


D=64-64 Multiply 4%281%29%2816%29 to get %284%29%2816%29=64


D=0 Subtract 64 from 64 to get 0


Since the discriminant is equal to zero, this means that there is one real solution.