Solve r^61-51-280

Evaluate

r^{6} \times 1 - 51 - 280

To find the roots of the expression,set the expression equal to 0

r^{6} \times 1 - 51 - 280 = 0

Any expression multiplied by 1 remains the same

r^{6} - 51 - 280 = 0

Subtract the numbers

r^{6} - 331 = 0

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

r^{6} = 0 + 331

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

r^{6} = 331

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

r = \pm 6331

Separate the equation into 2 possible cases

r = 6331 r = - 6331

Solution

r_{1} = - 6331, r_{2} = 6331

Alternative Form

r_{1} \approx - 2.630094, r_{2} \approx 2.630094

Simplify the expression