What are the solutions to the equation (17x-11)^3-(17x-11)=0 ?

The solutions to the equation (17x-11)^3-(17x-11)=0 are x= 11/17 ,x= 10/17 ,x= 12/17

Find the zeros of (17x-11)^3-(17x-11)=0

The zeros of (17x-11)^3-(17x-11)=0 are x= 11/17 ,x= 10/17 ,x= 12/17

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(17 x - 11)^{3} - (17 x - 11) = 0

x = \frac{11}{17}, x = \frac{10}{17}, x = \frac{12}{17}

Decimal Notation

x = 0.64705 \dots, x = 0.58823 \dots, x = 0.70588 \dots

Solution steps

(17 x - 11)^{3} - (17 x - 11) = 0

Factor

(17 x - 11)^{3} - (17 x - 11) : (17 x - 11) (17 x - 10) (17 x - 12)

(17 x - 11) (17 x - 10) (17 x - 12) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

17 x - 11 = 0 or 17 x - 10 = 0 or 17 x - 12 = 0

Solve

17 x - 11 = 0 : x = \frac{11}{17}

Solve

17 x - 10 = 0 : x = \frac{10}{17}

Solve

17 x - 12 = 0 : x = \frac{12}{17}

The solutions are

x = \frac{11}{17}, x = \frac{10}{17}, x = \frac{12}{17}

m^{3} = 1000

x^{4} - 4 x^{2} + 4 = x^{2}

- 6^{3} = y^{6}

2 x^{3} - 12 x^{2} + 8 x = 0

(- x - 2) (x^{2} - 1) = 0

What are the solutions to the equation (17x-11)^3-(17x-11)=0 ?
The solutions to the equation (17x-11)^3-(17x-11)=0 are x= 11/17 ,x= 10/17 ,x= 12/17
Find the zeros of (17x-11)^3-(17x-11)=0
The zeros of (17x-11)^3-(17x-11)=0 are x= 11/17 ,x= 10/17 ,x= 12/17