What is the answer to 12x^2-2x+1=0.8x^2+(1/(16x^2)) ?

The answer to 12x^2-2x+1=0.8x^2+(1/(16x^2)) is x\approx 0.23370…,x\approx-0.18785…

Solve for x: 12x^2-2x+1=0.8x^2+(1/(16x^2))

The solution is x\approx 0.23370…,x\approx-0.18785…

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12 x^{2} - 2 x + 1 = 0.8 x^{2} + (\frac{1}{16 x ^{2}})

x \approx 0.23370 \dots, x \approx - 0.18785 \dots

Solution steps

12 x^{2} - 2 x + 1 = 0.8 x^{2} + (\frac{1}{16 x ^{2}})

Multiply both sides by

10

120 x^{2} - 20 x + 10 = 8 x^{2} + \frac{5}{8 x ^{2}}

Multiply both sides by

x^{2}

120 x^{4} - 20 x^{3} + 10 x^{2} = 8 x^{4} + \frac{5}{8}

Solve

120 x^{4} - 20 x^{3} + 10 x^{2} = 8 x^{4} + \frac{5}{8} : x \approx 0.23370 \dots, x \approx - 0.18785 \dots

x \approx 0.23370 \dots, x \approx - 0.18785 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.23370 \dots, x \approx - 0.18785 \dots

x, \frac{1}{10} = \frac{1}{( 3 x + 4 y )}

x, \frac{9}{x ^{2}} = + \frac{q}{( x + 2 ) ^{2}}

\frac{x ^{2} - x - 1}{( x - 1 )} = \frac{1 - x}{( x - 1 )}

(j) \cdot \frac{( x - 2 )}{( x + 2 )} + \frac{( x + 2 )}{( x - 2 )} = 4

x + \frac{1}{x} = 3, \frac{( 5 x )}{( 4 x ^{2} - 5 x + 4 )}

What is the answer to 12x^2-2x+1=0.8x^2+(1/(16x^2)) ?
The answer to 12x^2-2x+1=0.8x^2+(1/(16x^2)) is x\approx 0.23370…,x\approx-0.18785…
Solve for x: 12x^2-2x+1=0.8x^2+(1/(16x^2))
The solution is x\approx 0.23370…,x\approx-0.18785…