Solve m^42237-1 - ScanMath

Question

Simplify the expression

2237 m^{4} - 1

Evaluate

m^{4} \times 2237 - 1

Solution

2237 m^{4} - 1

Show Solution

m_{1} = - \frac{4 223 7 ^{3}}{2237}, m_{2} = \frac{4 223 7 ^{3}}{2237}

Alternative Form

m_{1} \approx - 0.145406, m_{2} \approx 0.145406

Evaluate

m^{4} \times 2237 - 1

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

m^{4} \times 2237 - 1 = 0

Use the commutative property to reorder the terms

2237 m^{4} - 1 = 0

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

2237 m^{4} = 0 + 1

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

2237 m^{4} = 1

Divide both sides

\frac{2237 m ^{4}}{2237} = \frac{1}{2237}

Divide the numbers

m^{4} = \frac{1}{2237}

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

m = \pm 4 \frac{1}{2237}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{2237}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{4 1}{4 2237}

Simplify the radical expression

\frac{1}{4 2237}

Multiply by the Conjugate

\frac{4 223 7 ^{3}}{4 2237 \times 4 223 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

42237 \times 4 223 7^{3}

The product of roots with the same index is equal to the root of the product

4 2237 \times 223 7^{3}

Calculate the product

4 223 7^{4}

Reduce the index of the radical and exponent with 4

2237

\frac{4 223 7 ^{3}}{2237}

m = \pm \frac{4 223 7 ^{3}}{2237}

Separate the equation into 2 possible cases

m = \frac{4 223 7 ^{3}}{2237} m = - \frac{4 223 7 ^{3}}{2237}

Solution

m_{1} = - \frac{4 223 7 ^{3}}{2237}, m_{2} = \frac{4 223 7 ^{3}}{2237}

Alternative Form

m_{1} \approx - 0.145406, m_{2} \approx 0.145406

Show Solution