SOLUTION: 2x+3=4x^2

Algebra ->  Real-numbers -> SOLUTION: 2x+3=4x^2      Log On


   

Question 146050: 2x+3=4x^2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2x+3=4x^2
:
You can rearrange this is the quadratic form:
4x^2 - 2x - 3 = 0
:
Use the quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
In your problem: a=4; b=-2; c=-3
x+=+%28%28-2%29+%2B-+sqrt%28+-2%5E2-4%2A4%2A-3+%29%29%2F%282%2A4%29+
:
x+=+%282+%2B-+sqrt%284+-+%28-48%29+%29%29%2F%288%29+
x+=+%282+%2B-+sqrt%284+%2B+48%29%29%2F%288%29+
x+=+%282+%2B-+sqrt%2852+%29%29%2F%288%29+
Two solutions:
x+=+%282+%2B+7.211%29%2F8
x+=+%289.211%29%2F8
x = 1.151
and
x+=+%282+-+7.211%29%2F8
x+=+%28-5.211%29%2F8
x = -.651