SOLUTION: Can you show me how to use the quadratic formula to solve the following equation. x^2+16x+25=0 Thank you

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Can you show me how to use the quadratic formula to solve the following equation. x^2+16x+25=0 Thank you      Log On


   

Question 5088: Can you show me how to use the quadratic formula to solve the following equation.
x^2+16x+25=0
Thank you
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+16x+%2B+25+=+0 Use the quadratic formula x=+%28-b%2B-sqrt+%28b%5E2+-4ac%29%29%2F%282a%29, where a = 1, b= 16, and c=25.

x=+%28-16%2B-sqrt+%2816%5E2+-4%2A1%2A25%29%29%2F%282%2A1%29
x=+%28-16%2B-sqrt+%28256+-100%29%29%2F2
x=+%28-16%2B-sqrt+%284%29%2A+sqrt+%2839%29%29%2F2
x=+%28-16%2B-+2%2Asqrt+%2839%29%29%2F2

Factor out the 2:
x=+%282%28-8%2B-sqrt+%2839%29%29%29%2F2

Divide out the 2:
x=+%28-8%2B-sqrt+%2839%29%29+

R^2 at SCC