What is the answer to solvefor x,|x^2-2x|=3 ?

The answer to solvefor x,|x^2-2x|=3 is x=-1\lor x=3

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Solve for x |x^2-2x|=3

solve for

x, x^{2} - 2 x = 3

x = - 1 or x = 3

Solution steps

x^{2} - 2 x = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 2 x = - 3 or x^{2} - 2 x = 3

x^{2} - 2 x = - 3 or x^{2} - 2 x = 3

No Solution or (x = - 1 or x = 3)

x = - 1 or x = 3

x^{2} - 5 x - 4 = 0

z, - 7 z^{2} = - 28

x, 45 = x \cdot 180

x, ∣ 2 x - 3 ∣ < 3

\frac{25}{π}

What is the answer to solvefor x,|x^2-2x|=3 ?
The answer to solvefor x,|x^2-2x|=3 is x=-1\lor x=3