Solve M^23269/10-3003

Question

Simplify the expression

\frac{3269}{10} M^{2} - 3003

Evaluate

M^{2} \times \frac{3269}{10} - 3003

Solution

\frac{3269}{10} M^{2} - 3003

Show Solution

\frac{7}{10} (467 M^{2} - 4290)

Evaluate

M^{2} \times \frac{3269}{10} - 3003

Use the commutative property to reorder the terms

\frac{3269}{10} M^{2} - 3003

Solution

\frac{7}{10} (467 M^{2} - 4290)

Show Solution

M_{1} = - \frac{2003430}{467}, M_{2} = \frac{2003430}{467}

Alternative Form

M_{1} \approx - 3.03089, M_{2} \approx 3.03089

Evaluate

M^{2} \times \frac{3269}{10} - 3003

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

M^{2} \times \frac{3269}{10} - 3003 = 0

Use the commutative property to reorder the terms

\frac{3269}{10} M^{2} - 3003 = 0

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

\frac{3269}{10} M^{2} = 0 + 3003

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

\frac{3269}{10} M^{2} = 3003

Multiply by the reciprocal

\frac{3269}{10} M^{2} \times \frac{10}{3269} = 3003 \times \frac{10}{3269}

Multiply

M^{2} = 3003 \times \frac{10}{3269}

Multiply

More Steps

Evaluate

3003 \times \frac{10}{3269}

Reduce the numbers

429 \times \frac{10}{467}

Multiply the numbers

\frac{429 \times 10}{467}

Multiply the numbers

\frac{4290}{467}

M^{2} = \frac{4290}{467}

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

M = \pm \frac{4290}{467}

Simplify the expression

More Steps

Evaluate

\frac{4290}{467}

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

\frac{4290}{467}

Multiply by the Conjugate

\frac{4290 \times 467}{467 \times 467}

Multiply the numbers

More Steps

Evaluate

4290 \times 467

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

4290 \times 467

Calculate the product

2003430

\frac{2003430}{467 \times 467}

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

\frac{2003430}{467}

M = \pm \frac{2003430}{467}

Separate the equation into 2 possible cases

M = \frac{2003430}{467} M = - \frac{2003430}{467}

Solution

M_{1} = - \frac{2003430}{467}, M_{2} = \frac{2003430}{467}

Alternative Form

M_{1} \approx - 3.03089, M_{2} \approx 3.03089

Show Solution