Solve M^23269/10-2006

Question

Simplify the expression

\frac{3269}{10} M^{2} - 2006

Show Solution

\frac{1}{10} (3269 M^{2} - 20060)

Show Solution

M_{1} = - \frac{2 16394035}{3269}, M_{2} = \frac{2 16394035}{3269}

Alternative Form

M_{1} \approx - 2.477183, M_{2} \approx 2.477183

Evaluate

M^{2} \times \frac{3269}{10} - 2006

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

M^{2} \times \frac{3269}{10} - 2006 = 0

Use the commutative property to reorder the terms

\frac{3269}{10} M^{2} - 2006 = 0

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

\frac{3269}{10} M^{2} = 0 + 2006

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

\frac{3269}{10} M^{2} = 2006

Multiply by the reciprocal

\frac{3269}{10} M^{2} \times \frac{10}{3269} = 2006 \times \frac{10}{3269}

Multiply

M^{2} = 2006 \times \frac{10}{3269}

Multiply

More Steps

M^{2} = \frac{20060}{3269}

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

M = \pm \frac{20060}{3269}

Simplify the expression

More Steps

M = \pm \frac{2 16394035}{3269}

Separate the equation into 2 possible cases

M = \frac{2 16394035}{3269} M = - \frac{2 16394035}{3269}

Solution

M_{1} = - \frac{2 16394035}{3269}, M_{2} = \frac{2 16394035}{3269}

Alternative Form

M_{1} \approx - 2.477183, M_{2} \approx 2.477183

Show Solution