SOLUTION: I am having some trouble with quadratic formulas, could you please help me with this problem? x^2-1/2x+1/2=0 This is what I have so far: A=1 B=-1/2 C=1/2 x=1/2+/-(radical sign)-1/2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I am having some trouble with quadratic formulas, could you please help me with this problem? x^2-1/2x+1/2=0 This is what I have so far: A=1 B=-1/2 C=1/2 x=1/2+/-(radical sign)-1/2      Log On


   



Question 179999: I am having some trouble with quadratic formulas, could you please help me with this problem? x^2-1/2x+1/2=0 This is what I have so far: A=1 B=-1/2 C=1/2 x=1/2+/-(radical sign)-1/2^2-4(1)(1/2) (all over)2 x=1/2+/-(radical sign)1/4-2 (all over) 2 x=1/2+/-(radical sign)-7/4 (all over 2) x=1/2+/-2(radical sign)-7 (all over) 2 and that's as far as I got. Can you help me? Thanks a ton,
Heather

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
I am having some trouble with quadratic formulas, could you please help me with this problem? x^2-1/2x+1/2=0 This is what I have so far: A=1 B=-1/2 C=1/2 x=1/2+/-(radical sign)-1/2^2-4(1)(1/2) (all over)2 x=1/2+/-(radical sign)1/4-2 (all over) 2 x=1/2+/-(radical sign)-7/4 (all over 2) x=1/2+/-2(radical sign)-7 (all over) 2 and that's as far as I got. Can you help me? Thanks a ton,
Heather

YOU HAVE LIKELY SOLVED THIS PROBLEM ALSO, HEATHER, BUT THIS MIGHT BE A SLIGHTLY EASIER WAY(I DON'T LIKE TO DEAL IN FRACTIONS):
x%5E2-%281%2F2%29x%2B1%2F2=0 multiply each term by 2
2x%5E2-x%2B1=0
solve using the quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%281+%2B-+sqrt%28+%28-1%29%5E2-4%2A2%2A1+%29%29%2F%282%2A2%29+=
x+=+%281+%2B-+sqrt%28+1-8+%29%29%2F%284%29+=
x+=+%281+%2B-+sqrt%28-7+%29%29%2F%284%29+=
x+=+%281+%2B-+%28i%29sqrt%287+%29%29%2F%284%29+=
x+=+%28%281%2F4%29+%2B-+%281%2F4%29%28i%29sqrt%287+%29%29=
THAT SHOULD BE IT BUT NOW WE'LL TRY IT YOUR WAY
x%5E2-%281%2F2%29x%2B1=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ =
x+=+%28%281%2F2%29+%2B-+sqrt%28%28-1%2F2%29%5E2-4%2A1%2A%281%2F2%29+%29%29%2F%282%2A1%29+ =
x+=+%28%281%2F2%29+%2B-+sqrt%28%28%281%2F4%29-2%29%29%29%2F%282%29=
x+=+%28%281%2F2%29+%2B-+sqrt%28%28%28-7%2F4%29%29%29%29%2F%282%29+=
x+=+%28%281%2F2%29+%2B-+%281%2F2%29sqrt%28-7%29%29%2F%282%29+=
x+=+%28%281%2F2%29+%2B-+%281%2F2%29%28i%29sqrt%287%29%29%2F%282%29+=
x+=+%28%281%2F4%29+%2B-+%281%2F4%29%28i%29sqrt%287%29%29=

And it comes out the same--
GOOD WORK, HEATHER!!!!!!!-----PTAYLOR