SOLUTION: solve for Z: 3/2z^2=4z+1

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Question 70657: solve for Z: 3/2z^2=4z+1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve for Z: 3/2z^2=4z+1
:
Arrange as a quadratic equation:
1.5z^2 - 4z - 1 = 0
:
Using the quadratic formula; a = 1.5, b = -4, c = -1:
z+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
z+=+%28-%28-4%29+%2B-+sqrt%28+-4%5E2+-+4+%2A+1.5+%2A+-1+%29%29%2F%282%2A1.5%29+
:
z+=+%28%2B4+%2B-+sqrt%28+16+-+%28-6%29+%29%29%2F%283%29+
:
z+=+%284+%2B-+sqrt%28+16+%2B+6%29%29%2F%283%29+
:
z+=+%284+%2B-+sqrt%2822%29%29%2F%283%29+
:
z+=+%284+%2B-+4.69%29%2F%283%29+
:
Solution 1:
z+=+8.69%2F3
z = +2.9
:
Solution 2:
z+=+-.69%2F3
z = -.23