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Step-by-step Solution

Solve the inequality $4x^2-4x+1<0$

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Answer

$0.5<x<0.5$

Step-by-step explanation

Problem to solve:

$4x^2-4x+1<0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=4$, $b=-4$ and $c=1$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
2

Substituting the values of the coefficients of the equation in the quadratic formula

$x=\frac{-1\cdot -4\pm \sqrt{{\left(-4\right)}^2-16}}{2\cdot 4}$

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Answer

$0.5<x<0.5$
$4x^2-4x+1<0$

Main topic:

Inequalities

Used formulas:

3. See formulas

Time to solve it:

~ 0.42 seconds