Solve m^24308/6-506

Question

Simplify the expression

718 m^{2} - 506

Evaluate

m^{2} \times \frac{4308}{6} - 506

Divide the terms

More Steps

Evaluate

\frac{4308}{6}

Reduce the numbers

\frac{718}{1}

Calculate

718

m^{2} \times 718 - 506

Solution

718 m^{2} - 506

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Factor the expression

2 (359 m^{2} - 253)

Evaluate

m^{2} \times \frac{4308}{6} - 506

Divide the terms

More Steps

Evaluate

\frac{4308}{6}

Reduce the numbers

\frac{718}{1}

Calculate

718

m^{2} \times 718 - 506

Use the commutative property to reorder the terms

718 m^{2} - 506

Solution

2 (359 m^{2} - 253)

Show Solution

Find the roots

m_{1} = - \frac{90827}{359}, m_{2} = \frac{90827}{359}

Alternative Form

m_{1} \approx - 0.839485, m_{2} \approx 0.839485

Evaluate

m^{2} \times \frac{4308}{6} - 506

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

m^{2} \times \frac{4308}{6} - 506 = 0

Divide the terms

More Steps

Evaluate

\frac{4308}{6}

Reduce the numbers

\frac{718}{1}

Calculate

718

m^{2} \times 718 - 506 = 0

Use the commutative property to reorder the terms

718 m^{2} - 506 = 0

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

718 m^{2} = 0 + 506

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

718 m^{2} = 506

Divide both sides

\frac{718 m ^{2}}{718} = \frac{506}{718}

Divide the numbers

m^{2} = \frac{506}{718}

Cancel out the common factor 2

m^{2} = \frac{253}{359}

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

m = \pm \frac{253}{359}

Simplify the expression

More Steps

Evaluate

\frac{253}{359}

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

\frac{253}{359}

Multiply by the Conjugate

\frac{253 \times 359}{359 \times 359}

Multiply the numbers

More Steps

Evaluate

253 \times 359

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

253 \times 359

Calculate the product

90827

\frac{90827}{359 \times 359}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{90827}{359}

m = \pm \frac{90827}{359}

Separate the equation into 2 possible cases

m = \frac{90827}{359} m = - \frac{90827}{359}

Solution

m_{1} = - \frac{90827}{359}, m_{2} = \frac{90827}{359}

Alternative Form

m_{1} \approx - 0.839485, m_{2} \approx 0.839485

Show Solution