SOLUTION: Can you please show me how to work this equation out using the quadratic formula. w^2 - 5w + 5 = 0 Thank you very much

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can you please show me how to work this equation out using the quadratic formula. w^2 - 5w + 5 = 0 Thank you very much      Log On


   

Question 169983: Can you please show me how to work this equation out using the quadratic formula.
w^2 - 5w + 5 = 0
Thank you very much
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

w%5E2-5w%2B5=0 Start with the given equation.


Notice we have a quadratic equation in the form of aw%5E2%2Bbw%2Bc where a=1, b=-5, and c=5


Let's use the quadratic formula to solve for w


w+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


w+=+%28-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%281%29%285%29+%29%29%2F%282%281%29%29 Plug in a=1, b=-5, and c=5


w+=+%285+%2B-+sqrt%28+%28-5%29%5E2-4%281%29%285%29+%29%29%2F%282%281%29%29 Negate -5 to get 5.


w+=+%285+%2B-+sqrt%28+25-4%281%29%285%29+%29%29%2F%282%281%29%29 Square -5 to get 25.


w+=+%285+%2B-+sqrt%28+25-20+%29%29%2F%282%281%29%29 Multiply 4%281%29%285%29 to get 20


w+=+%285+%2B-+sqrt%28+5+%29%29%2F%282%281%29%29 Subtract 20 from 25 to get 5


w+=+%285+%2B-+sqrt%28+5+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


w+=+%285%2Bsqrt%285%29%29%2F%282%29 or w+=+%285-sqrt%285%29%29%2F%282%29 Break up the expression.


So the answers are w+=+%285%2Bsqrt%285%29%29%2F%282%29 or w+=+%285-sqrt%285%29%29%2F%282%29


which approximate to w=3.618 or w=1.382