What is the answer to roots (x^3-3x+1)/(x-1) ?

The answer to roots (x^3-3x+1)/(x-1) is x\approx 0.34729…,x\approx 1.53208…,x\approx-1.87938…

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roots (x^3-3x+1)/(x-1)

roots

\frac{x ^{3} - 3 x + 1}{x - 1}

x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

Solution steps

\frac{x ^{3} - 3 x + 1}{x - 1}

The roots are the intercepts with the x-axis

(y = 0)

\frac{x ^{3} - 3 x + 1}{x - 1} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x^{3} - 3 x + 1 = 0

Solve

x^{3} - 3 x + 1 = 0 : x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x \approx 0.34729 \dots, x \approx 1.53208 \dots, x \approx - 1.87938 \dots

\frac{6 _{- 1}}{6 ^{- 3}}

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0.1 \cdot 1 0^{- 1}

e^{- c o s (t)}

4 \cdot π \cdot (3)^{2} \cdot 4

What is the answer to roots (x^3-3x+1)/(x-1) ?
The answer to roots (x^3-3x+1)/(x-1) is x\approx 0.34729…,x\approx 1.53208…,x\approx-1.87938…