What is the answer to (1/(4x))^2-3x-12=0 ?

The answer to (1/(4x))^2-3x-12=0 is x\approx 0.07153…,x\approx-0.07283…,x\approx-3.99869…

Solve for x: (1/(4x))^2-3x-12=0

The solution is x\approx 0.07153…,x\approx-0.07283…,x\approx-3.99869…

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(\frac{1}{4 x})^{2} - 3 x - 12 = 0

x \approx 0.07153 \dots, x \approx - 0.07283 \dots, x \approx - 3.99869 \dots

Solution steps

(\frac{1}{4 x})^{2} - 3 x - 12 = 0

Simplify

(\frac{1}{4 x})^{2} : \frac{1}{16 x ^{2}}

\frac{1}{16 x ^{2}} - 3 x - 12 = 0

Multiply both sides by

16 x^{2}

1 - 48 x^{3} - 192 x^{2} = 0

Solve

1 - 48 x^{3} - 192 x^{2} = 0 : x \approx 0.07153 \dots, x \approx - 0.07283 \dots, x \approx - 3.99869 \dots

x \approx 0.07153 \dots, x \approx - 0.07283 \dots, x \approx - 3.99869 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.07153 \dots, x \approx - 0.07283 \dots, x \approx - 3.99869 \dots

\frac{x}{3 x - 5} = 6 x + 2

\frac{x - 2}{x} = \frac{12}{20}

1.5 x + 3 = \frac{3}{2 x + 3}

y, x = \frac{4 y - 2}{1 - y}

15 = \frac{x}{470 + x} \cdot 20

What is the answer to (1/(4x))^2-3x-12=0 ?
The answer to (1/(4x))^2-3x-12=0 is x\approx 0.07153…,x\approx-0.07283…,x\approx-3.99869…
Solve for x: (1/(4x))^2-3x-12=0
The solution is x\approx 0.07153…,x\approx-0.07283…,x\approx-3.99869…