Solve M^23269/1-2001

Question

Simplify the expression

3269 M^{2} - 2001

Evaluate

M^{2} \times \frac{3269}{1} - 2001

Divide the terms

M^{2} \times 3269 - 2001

Solution

3269 M^{2} - 2001

Show Solution

M_{1} = - \frac{6541269}{3269}, M_{2} = \frac{6541269}{3269}

Alternative Form

M_{1} \approx - 0.782377, M_{2} \approx 0.782377

Evaluate

M^{2} \times \frac{3269}{1} - 2001

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

M^{2} \times \frac{3269}{1} - 2001 = 0

Divide the terms

M^{2} \times 3269 - 2001 = 0

Use the commutative property to reorder the terms

3269 M^{2} - 2001 = 0

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

3269 M^{2} = 0 + 2001

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

3269 M^{2} = 2001

Divide both sides

\frac{3269 M ^{2}}{3269} = \frac{2001}{3269}

Divide the numbers

M^{2} = \frac{2001}{3269}

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

M = \pm \frac{2001}{3269}

Simplify the expression

More Steps

Evaluate

\frac{2001}{3269}

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

\frac{2001}{3269}

Multiply by the Conjugate

\frac{2001 \times 3269}{3269 \times 3269}

Multiply the numbers

More Steps

Evaluate

2001 \times 3269

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

2001 \times 3269

Calculate the product

6541269

\frac{6541269}{3269 \times 3269}

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

\frac{6541269}{3269}

M = \pm \frac{6541269}{3269}

Separate the equation into 2 possible cases

M = \frac{6541269}{3269} M = - \frac{6541269}{3269}

Solution

M_{1} = - \frac{6541269}{3269}, M_{2} = \frac{6541269}{3269}

Alternative Form

M_{1} \approx - 0.782377, M_{2} \approx 0.782377

Show Solution