What is the answer to 1/(4x^2)=2x+5 ?

The answer to 1/(4x^2)=2x+5 is x\approx 0.21458…,x\approx-0.23491…,x\approx-2.47967…

Solve for x: 1/(4x^2)=2x+5

The solution is x\approx 0.21458…,x\approx-0.23491…,x\approx-2.47967…

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\frac{1}{4 x ^{2}} = 2 x + 5

x \approx 0.21458 \dots, x \approx - 0.23491 \dots, x \approx - 2.47967 \dots

Solution steps

\frac{1}{4 x ^{2}} = 2 x + 5

Multiply both sides by

x^{2}

\frac{1}{4} = 2 x^{3} + 5 x^{2}

Solve

\frac{1}{4} = 2 x^{3} + 5 x^{2} : x \approx 0.21458 \dots, x \approx - 0.23491 \dots, x \approx - 2.47967 \dots

x \approx 0.21458 \dots, x \approx - 0.23491 \dots, x \approx - 2.47967 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.21458 \dots, x \approx - 0.23491 \dots, x \approx - 2.47967 \dots

\frac{x}{x - 2} - \frac{3}{x + 2} = \frac{2 x ^{2} + x + 6}{x ^{2} - 4}

x, \frac{1}{x} - \frac{1}{y} - 10 = 0

\frac{5}{( \frac{( 6 - x )}{2} )} - \frac{x}{3} = 2 x + 4

∣ x ∣ + \frac{4 - x ^{2}}{x} = \frac{4}{x}

\frac{24}{20 + x} = \frac{24 + x}{44 + x}

What is the answer to 1/(4x^2)=2x+5 ?
The answer to 1/(4x^2)=2x+5 is x\approx 0.21458…,x\approx-0.23491…,x\approx-2.47967…
Solve for x: 1/(4x^2)=2x+5
The solution is x\approx 0.21458…,x\approx-0.23491…,x\approx-2.47967…