SOLUTION: Dear Sir/ Madam, I am quite familiar in Quadratic formula but I do not know how to use it when there is a square root or imaginary (i) in it. Please help me in solving this alge

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Dear Sir/ Madam, I am quite familiar in Quadratic formula but I do not know how to use it when there is a square root or imaginary (i) in it. Please help me in solving this alge      Log On


   



Question 766252: Dear Sir/ Madam,
I am quite familiar in Quadratic formula but I do not know how to use it when there is a square root or imaginary (i) in it. Please help me in solving this algebraic problem, (this one has a square root)
t^2-2t√(2)+1=0 (that is t squared + 2t square root of 2 +1 = 0). Thank you very much for your help. God bless!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
t^2-2√(2)t+1=0
using quadratic formula to solve for t
t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-2√2, c=1
b^2=(-2√2)^2=8
4ac=4*1*1=4
..
t=[2√2±√(8-4)]/2
t=[2√2±√4)]/2
t=[2√2±2]/2
t=[√2±1]
t=1.41±1
t≈0.41
or
t≈2.41