Solve 6n 7=2n^5 - ScanMath

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Type your math problem... 6n 7=2n^5

Question

Solve the equation

n_{1} = - 421, n_{2} = 0, n_{3} = 421

Alternative Form

n_{1} \approx - 2.140695, n_{2} = 0, n_{3} \approx 2.140695

Evaluate

6 n \times 7 = 2 n^{5}

Multiply the terms

42 n = 2 n^{5}

Add or subtract both sides

42 n - 2 n^{5} = 0

Factor the expression

2 n (21 - n^{4}) = 0

Divide both sides

n (21 - n^{4}) = 0

Separate the equation into 2 possible cases

n = 0 21 - n^{4} = 0

Solve the equation

More Steps

Evaluate

21 - n^{4} = 0

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

- n^{4} = 0 - 21

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

- n^{4} = - 21

Change the signs on both sides of the equation

n^{4} = 21

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

n = \pm 421

Separate the equation into 2 possible cases

n = 421 n = - 421

n = 0 n = 421 n = - 421

Solution

n_{1} = - 421, n_{2} = 0, n_{3} = 421

Alternative Form

n_{1} \approx - 2.140695, n_{2} = 0, n_{3} \approx 2.140695

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