SOLUTION: 4x^2+3x+1=0 find the real or imaginary roots

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 4x^2+3x+1=0 find the real or imaginary roots      Log On


   



Question 194242: 4x^2+3x+1=0 find the real or imaginary roots
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2%2B3x%2B1=0
use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+4
b+=+3
c+=+1
x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A4%2A1+%29%29%2F%282%2A4%29+
x+=+%28-3+%2B-+sqrt%28+9-16+%29%29%2F8+
x+=+%28-3+%2B-+sqrt%28+-7%29%29%2F8+
x+=+%28-3+%2B-+sqrt%287%29%2Ai%29%2F8+
The answers are:
x+=+%28-3+%2B+sqrt%287%29%2Ai+%29%2F8
and
x+=+%28-3+-+sqrt%287%29%2Ai+%29%2F8