factories x^2-4x+1 =0
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How to solve your problem
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x^{2}-4x+1=0
x2−4x+1=0
Quadratic formula
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Use the quadratic formula
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x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
2
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4
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1
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x^{2}-4x+1=0
x2−4x+1=0
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a={\color{#c92786}{1}}
a=1
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b={\color{#e8710a}{-4}}
b=−4
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c={\color{#129eaf}{1}}
c=1
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x=\frac{-({\color{#e8710a}{-4}}) \pm \sqrt{({\color{#e8710a}{-4}})^{2}4 \cdot {\color{#c92786}{1}} \cdot {\color{#129eaf}{1}}}}{2 \cdot {\color{#c92786}{1}}}
x=2⋅1−(−4)±(−4)2−4⋅1⋅1