Solve M^23269/10-3099

Question

Simplify the expression

\frac{3269}{10} M^{2} - 3099

Evaluate

M^{2} \times \frac{3269}{10} - 3099

Solution

\frac{3269}{10} M^{2} - 3099

Show Solution

\frac{1}{10} (3269 M^{2} - 30990)

Evaluate

M^{2} \times \frac{3269}{10} - 3099

Use the commutative property to reorder the terms

\frac{3269}{10} M^{2} - 3099

Solution

\frac{1}{10} (3269 M^{2} - 30990)

Show Solution

M_{1} = - \frac{101306310}{3269}, M_{2} = \frac{101306310}{3269}

Alternative Form

M_{1} \approx - 3.078955, M_{2} \approx 3.078955

Evaluate

M^{2} \times \frac{3269}{10} - 3099

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

M^{2} \times \frac{3269}{10} - 3099 = 0

Use the commutative property to reorder the terms

\frac{3269}{10} M^{2} - 3099 = 0

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

\frac{3269}{10} M^{2} = 0 + 3099

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

\frac{3269}{10} M^{2} = 3099

Multiply by the reciprocal

\frac{3269}{10} M^{2} \times \frac{10}{3269} = 3099 \times \frac{10}{3269}

Multiply

M^{2} = 3099 \times \frac{10}{3269}

Multiply

More Steps

Evaluate

3099 \times \frac{10}{3269}

Multiply the numbers

\frac{3099 \times 10}{3269}

Multiply the numbers

\frac{30990}{3269}

M^{2} = \frac{30990}{3269}

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

M = \pm \frac{30990}{3269}

Simplify the expression

More Steps

Evaluate

\frac{30990}{3269}

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

\frac{30990}{3269}

Multiply by the Conjugate

\frac{30990 \times 3269}{3269 \times 3269}

Multiply the numbers

More Steps

Evaluate

30990 \times 3269

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

30990 \times 3269

Calculate the product

101306310

\frac{101306310}{3269 \times 3269}

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

\frac{101306310}{3269}

M = \pm \frac{101306310}{3269}

Separate the equation into 2 possible cases

M = \frac{101306310}{3269} M = - \frac{101306310}{3269}

Solution

M_{1} = - \frac{101306310}{3269}, M_{2} = \frac{101306310}{3269}

Alternative Form

M_{1} \approx - 3.078955, M_{2} \approx 3.078955

Show Solution