Solve x 1/2x^2x-2=180

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Type your math problem... x 1/2x^2x-2=180

Question

Solve the equation

x_{1} = - 4364, x_{2} = 4364

Alternative Form

x_{1} \approx - 4.367927, x_{2} \approx 4.367927

Evaluate

x \times \frac{1}{2} x^{2} \times x - 2 = 180

Multiply

More Steps

Evaluate

x \times \frac{1}{2} x^{2} \times x

Multiply the terms with the same base by adding their exponents

x^{1 + 2 + 1} \times \frac{1}{2}

Add the numbers

x^{4} \times \frac{1}{2}

Use the commutative property to reorder the terms

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

\frac{1}{2} x^{4} - 2 = 180

Move the constant to the right-hand side and change its sign

\frac{1}{2} x^{4} = 180 + 2

Add the numbers

\frac{1}{2} x^{4} = 182

Multiply by the reciprocal

\frac{1}{2} x^{4} \times 2 = 182 \times 2

Multiply

x^{4} = 182 \times 2

Multiply

x^{4} = 364

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4364

Separate the equation into 2 possible cases

x = 4364 x = - 4364

Solution

x_{1} = - 4364, x_{2} = 4364

Alternative Form

x_{1} \approx - 4.367927, x_{2} \approx 4.367927

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