SOLUTION: Solve the equation {{{8x^3+4x^2-18x-9=0}}} algebraically for all values of x.
We've been trying to solve this problem for hours, but it can't be factored at all.
Algebra.Com
Question 293591: Solve the equation algebraically for all values of x.
We've been trying to solve this problem for hours, but it can't be factored at all.
Found 3 solutions by nerdybill, jim_thompson5910, scott8148:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
.
Group terms:
.
.
.
Set each term to zero:
2x+1 = 0
2x = -1
x = -1/2
.
4x^2-9 = 0
4x^2 = 9
x^2 = 9/4
x = +- 3/2
.
x = {-3/2, -1/2, 3/2}
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression
Group like terms
Factor out the GCF out of the first group. Factor out the GCF out of the second group
Since we have the common term , we can combine like terms
Now factor to get (difference of squares)
So factors to
In other words,
This basically means that is equivalent to . I'll let you take it from here.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
hours, huh...
grouping ___ (8x^3 + 4x^2) - (18x + 9) = 0
factoring ___ 4x^2(2x + 1) - 9(2x + 1) = 0
rearranging ___ (4x^2 - 9) (2x + 1) = 0
factoring (difference of squares) ___ (2x + 3) (2x - 3) (2x + 1) = 0
x = ±3/2 , -1/2
RELATED QUESTIONS
solve the equation 8x^3 + 4x^2 - 18x - 9 = 0 algebraically for all values of... (answered by Edwin McCravy)
Solve the equation 8x3 + 4x2 − 18x − 9 = 0 algebraically for all values of... (answered by palanisamy)
solve the equation 3x+15=x^3+5x^2 algebraically for all values of... (answered by Earlsdon)
Solve the equation algebraically.... (answered by jim_thompson5910)
solve sec x - sqrt( 2 )=0 algebraically for all values (answered by Fombitz)
I have been trying to help my 8th grade daughter with her Algebra 1 homework. We have... (answered by ewatrrr)
solve algebraically... (answered by stanbon)
I need to solve for x.
4x(x-2)-5x(x-1)=2
I have already taken the steps to make the... (answered by checkley77)
Please help with this problem. I have been trying for days to solve this.
Given ABC... (answered by rothauserc)