SOLUTION: how must this be executed? 1.)8x^3-12x^2+2x-3=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how must this be executed? 1.)8x^3-12x^2+2x-3=0      Log On


   

Question 720580: how must this be executed?
1.)8x^3-12x^2+2x-3=0
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
By "grouping" and factoring:
8x^3-12x^2+2x-3=0
(8x^3-12x^2)+(2x-3)=0
4x^2(2x-3)+(2x-3)=0
factoring out the (2x-3):
(2x-3)(4x^2+1)=0
.
setting each term to zero:
2x-3=0
2x=3
x=3/2
and
4x^2+1 = 0
4x^2 = -1
x^2 = -1/4
x = sqrt(-1/4)
x = +-(1/2)i
.
solution:
x = (3/2, (1/2)i, -(1/2)i}