Solve M^23269/10-3149

Question

Simplify the expression

\frac{3269}{10} M^{2} - 3149

Evaluate

M^{2} \times \frac{3269}{10} - 3149

Solution

\frac{3269}{10} M^{2} - 3149

Show Solution

\frac{1}{10} (3269 M^{2} - 31490)

Evaluate

M^{2} \times \frac{3269}{10} - 3149

Use the commutative property to reorder the terms

\frac{3269}{10} M^{2} - 3149

Solution

\frac{1}{10} (3269 M^{2} - 31490)

Show Solution

M_{1} = - \frac{102940810}{3269}, M_{2} = \frac{102940810}{3269}

Alternative Form

M_{1} \approx - 3.103694, M_{2} \approx 3.103694

Evaluate

M^{2} \times \frac{3269}{10} - 3149

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

M^{2} \times \frac{3269}{10} - 3149 = 0

Use the commutative property to reorder the terms

\frac{3269}{10} M^{2} - 3149 = 0

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

\frac{3269}{10} M^{2} = 0 + 3149

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

\frac{3269}{10} M^{2} = 3149

Multiply by the reciprocal

\frac{3269}{10} M^{2} \times \frac{10}{3269} = 3149 \times \frac{10}{3269}

Multiply

M^{2} = 3149 \times \frac{10}{3269}

Multiply

More Steps

Evaluate

3149 \times \frac{10}{3269}

Multiply the numbers

\frac{3149 \times 10}{3269}

Multiply the numbers

\frac{31490}{3269}

M^{2} = \frac{31490}{3269}

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

M = \pm \frac{31490}{3269}

Simplify the expression

More Steps

Evaluate

\frac{31490}{3269}

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

\frac{31490}{3269}

Multiply by the Conjugate

\frac{31490 \times 3269}{3269 \times 3269}

Multiply the numbers

More Steps

Evaluate

31490 \times 3269

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

31490 \times 3269

Calculate the product

102940810

\frac{102940810}{3269 \times 3269}

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

\frac{102940810}{3269}

M = \pm \frac{102940810}{3269}

Separate the equation into 2 possible cases

M = \frac{102940810}{3269} M = - \frac{102940810}{3269}

Solution

M_{1} = - \frac{102940810}{3269}, M_{2} = \frac{102940810}{3269}

Alternative Form

M_{1} \approx - 3.103694, M_{2} \approx 3.103694

Show Solution