Solve a*a^3=94a - ScanMath

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Type your math problem... a*a^3=94a

Question

Solve the equation

a_{1} = 0, a_{2} = 394

Alternative Form

a_{1} = 0, a_{2} \approx 4.546836

Evaluate

a \times a^{3} = 94 a

Multiply the terms

More Steps

Evaluate

a \times a^{3}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

a^{1 + 3}

Add the numbers

a^{4}

a^{4} = 94 a

Move the expression to the left side

a^{4} - 94 a = 0

Factor the expression

a (a^{3} - 94) = 0

Separate the equation into 2 possible cases

a = 0 a^{3} - 94 = 0

Solve the equation

More Steps

Evaluate

a^{3} - 94 = 0

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

a^{3} = 0 + 94

Removing 0 doesn't change the value,so remove it from the expression

a^{3} = 94

Take the 3 -th root on both sides of the equation

3 a^{3} = 394

Calculate

a = 394

a = 0 a = 394

Solution

a_{1} = 0, a_{2} = 394

Alternative Form

a_{1} = 0, a_{2} \approx 4.546836

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