Hello again! I'm back with another problem from our prerequisite math class and as the title suggests, it's a problem with radicals and we have to find its solutions.
The given problem is: 2(x2 + x + 1) + sqrt(x2+x+1) - 3 = 0
So far what I have done is:
And at this point, I find myself stuck because I don't really know...
Hoping someone can enlighten me with this process. Thank you in advance!
The given problem is: 2(x2 + x + 1) + sqrt(x2+x+1) - 3 = 0
So far what I have done is:
- sqrt(x2+x+1) = -2x2 + 2x + 1 [isolate the radical on one side]
- x2+x+1 = 4x4+8x3+4x+1 [square both sides to remove the radical]
- 4x4 + 8x3 - x2 + 3x = 0 [combine like terms]
And at this point, I find myself stuck because I don't really know...
- if I did the correct process
- and how I'm supposed to solve the fourth degree equation
Hoping someone can enlighten me with this process. Thank you in advance!