What is the answer to |x^2-2x|= 1/(4-2x) ?

The answer to |x^2-2x|= 1/(4-2x) is x=-0.11208…,x=0.14536…,x=1.40303…

Solve for x: |x^2-2x|= 1/(4-2x)

The solution is x=-0.11208…,x=0.14536…,x=1.40303…

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x^{2} - 2 x = \frac{1}{4 - 2 x}

x = - 0.11208 \dots, x = 0.14536 \dots, x = 1.40303 \dots

Solution steps

x^{2} - 2 x = \frac{1}{4 - 2 x}

Multiply both sides by

4 - 2 x

x^{2} - 2 x (4 - 2 x) = 1

Solve

x^{2} - 2 x (4 - 2 x) = 1 : x = - 0.11208 \dots or x = 0.14536 \dots or x = 1.40303 \dots

x = - 0.11208 \dots, x = 0.14536 \dots, x = 1.40303 \dots

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 0.11208 \dots, x = 0.14536 \dots, x = 1.40303 \dots

a, (t) = \frac{1}{( ( cos ( t ) + tan ( t ) ) ^{2} )}

x + 15 = \frac{2}{5 + ( x + 15 ) 0.4 x}

\frac{x - 2}{7 x} = 210

\frac{1}{2 x ^{2}} = 5

f, \frac{1}{f} = (n - 1) (\frac{1}{r} 1 + \frac{1}{r ^{2}})

What is the answer to |x^2-2x|= 1/(4-2x) ?
The answer to |x^2-2x|= 1/(4-2x) is x=-0.11208…,x=0.14536…,x=1.40303…
Solve for x: |x^2-2x|= 1/(4-2x)
The solution is x=-0.11208…,x=0.14536…,x=1.40303…