Please check my work on Solve the inequality: 4x^2-4x+1 >

trip20

New member
Joined
Nov 4, 2006
Messages
22
Could someone please check my work, I want to make sure I am on the right track.

Solve the inequality: 4x^2-4x+1 >= 0

Using the quadradic formula I ended up with 4/8 or 1/2.

Is that correct?
 

skeeter

Senior Member
Joined
Dec 15, 2005
Messages
2,396
4x<sup>2</sup> - 4x + 1 > 0

(2x - 1)<sup>2</sup> > 0

the inequality is true for all x ... because (anything)<sup>2</sup> > 0
 

trip20

New member
Joined
Nov 4, 2006
Messages
22
Thanks skeeter,

perhaps i should have written the full set of instructions:

Solve the inequality 4x^2-4x+1>=0 Graph the solution set on a real number line. Express each solution in interval notation.

I used the quadradic formula and got 1/2 or [1/2, infinity)
 
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