SOLUTION: Give exact and approximate solutions to three decimal places. x^2-5x+5=0 The exact solutions are x = ? The approximate solutions to 3 decimal places are x=? Thanks so

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Give exact and approximate solutions to three decimal places. x^2-5x+5=0 The exact solutions are x = ? The approximate solutions to 3 decimal places are x=? Thanks so      Log On


   



Question 258754: Give exact and approximate solutions to three decimal places.
x^2-5x+5=0
The exact solutions are x = ?
The approximate solutions to 3 decimal places are x=?
Thanks so much for your help.
Laura

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-5x%2B5=0+
Use the quadratic formula,
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+
x+=+%285+%2B-+sqrt%28+25-20+%29%29%2F%282%29+
x+=+%285+%2B-+sqrt%28+5%29%29%2F%282%29+
or approximately,
x=3.618 and x=1.382
.
.
.
+graph%28+300%2C+300%2C+-1%2C+5%2C+-3%2C+3%2C++x%5E2-5x%2B5%29+