Solve for x (complex solution)
x=\frac{100\sqrt[60]{5}\sqrt[15]{67}}{521}\approx 0.260945671
Solve for x
x=\frac{100\sqrt[60]{100755605}}{521}\approx 0.260945671
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\sqrt[3]{\sqrt{\sqrt[5]{67^{2}\sqrt{5}}}}=5.21x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
\sqrt[3]{\sqrt{\sqrt[5]{4489\sqrt{5}}}}=5.21x
Calculate 67 to the power of 2 and get 4489.
5.21x=\sqrt[3]{\sqrt{\sqrt[5]{4489\sqrt{5}}}}
Swap sides so that all variable terms are on the left hand side.
\frac{5.21x}{5.21}=\frac{\sqrt[60]{5}\sqrt[15]{67}}{5.21}
Divide both sides of the equation by 5.21, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{\sqrt[60]{5}\sqrt[15]{67}}{5.21}
Dividing by 5.21 undoes the multiplication by 5.21.
x=\frac{100\sqrt[60]{5}\sqrt[15]{67}}{521}
Divide \sqrt[15]{67}\sqrt[60]{5} by 5.21 by multiplying \sqrt[15]{67}\sqrt[60]{5} by the reciprocal of 5.21.
\sqrt[3]{\sqrt{\sqrt[5]{67^{2}\sqrt{5}}}}=5.21x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
\sqrt[3]{\sqrt{\sqrt[5]{4489\sqrt{5}}}}=5.21x
Calculate 67 to the power of 2 and get 4489.
5.21x=\sqrt[3]{\sqrt{\sqrt[5]{4489\sqrt{5}}}}
Swap sides so that all variable terms are on the left hand side.
\frac{5.21x}{5.21}=\frac{\sqrt[60]{5}\sqrt[15]{67}}{5.21}
Divide both sides of the equation by 5.21, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{\sqrt[60]{5}\sqrt[15]{67}}{5.21}
Dividing by 5.21 undoes the multiplication by 5.21.
x=\frac{100\sqrt[60]{5}\sqrt[15]{67}}{521}
Divide \sqrt[15]{67}\sqrt[60]{5} by 5.21 by multiplying \sqrt[15]{67}\sqrt[60]{5} by the reciprocal of 5.21.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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