Solve 2m^62-1210 - ScanMath

Question

Simplify the expression

4 m^{6} - 1210

Evaluate

2 m^{6} \times 2 - 1210

Solution

4 m^{6} - 1210

Show Solution

2 (2 m^{6} - 605)

Evaluate

2 m^{6} \times 2 - 1210

Multiply the terms

4 m^{6} - 1210

Solution

2 (2 m^{6} - 605)

Show Solution

m_{1} = - \frac{6 19360}{2}, m_{2} = \frac{6 19360}{2}

Alternative Form

m_{1} \approx - 2.590921, m_{2} \approx 2.590921

Evaluate

2 m^{6} \times 2 - 1210

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

2 m^{6} \times 2 - 1210 = 0

Multiply the terms

4 m^{6} - 1210 = 0

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

4 m^{6} = 0 + 1210

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

4 m^{6} = 1210

Divide both sides

\frac{4 m ^{6}}{4} = \frac{1210}{4}

Divide the numbers

m^{6} = \frac{1210}{4}

Cancel out the common factor 2

m^{6} = \frac{605}{2}

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

m = \pm 6 \frac{605}{2}

Simplify the expression

More Steps

Evaluate

6 \frac{605}{2}

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

\frac{6 605}{6 2}

Multiply by the Conjugate

\frac{6 605 \times 6 2 ^{5}}{6 2 \times 6 2 ^{5}}

Simplify

\frac{6 605 \times 6 32}{6 2 \times 6 2 ^{5}}

Multiply the numbers

More Steps

Evaluate

6605 \times 632

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

6 605 \times 32

Calculate the product

619360

\frac{6 19360}{6 2 \times 6 2 ^{5}}

Multiply the numbers

More Steps

Evaluate

62 \times 6 2^{5}

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

6 2 \times 2^{5}

Calculate the product

6 2^{6}

Reduce the index of the radical and exponent with 6

2

\frac{6 19360}{2}

m = \pm \frac{6 19360}{2}

Separate the equation into 2 possible cases

m = \frac{6 19360}{2} m = - \frac{6 19360}{2}

Solution

m_{1} = - \frac{6 19360}{2}, m_{2} = \frac{6 19360}{2}

Alternative Form

m_{1} \approx - 2.590921, m_{2} \approx 2.590921

Show Solution