Solve 232x^42 = 248 \bmod 50

Evaluate

232 x^{4} \times 2 = 248 mod 50

Multiply the terms

464 x^{4} = 248 mod 50

Calculate

464 x^{4} = 48

Divide both sides

\frac{464 x ^{4}}{464} = \frac{48}{464}

Divide the numbers

x^{4} = \frac{48}{464}

Cancel out the common factor 16

x^{4} = \frac{3}{29}

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

x = \pm 4 \frac{3}{29}

Simplify the expression

More Steps

x = \pm \frac{4 73167}{29}

Separate the equation into 2 possible cases

x = \frac{4 73167}{29} x = - \frac{4 73167}{29}

Solution

x_{1} = - \frac{4 73167}{29}, x_{2} = \frac{4 73167}{29}

Alternative Form

x_{1} \approx - 0.567128, x_{2} \approx 0.567128

Solve the equation