Solve M^22530/2-1

Question

Simplify the expression

1265 M^{2} - 1

Evaluate

M^{2} \times \frac{2530}{2} - 1

Divide the terms

More Steps

Evaluate

\frac{2530}{2}

Reduce the numbers

\frac{1265}{1}

Calculate

1265

M^{2} \times 1265 - 1

Solution

1265 M^{2} - 1

Show Solution

M_{1} = - \frac{1265}{1265}, M_{2} = \frac{1265}{1265}

Alternative Form

M_{1} \approx - 0.028116, M_{2} \approx 0.028116

Evaluate

M^{2} \times \frac{2530}{2} - 1

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

M^{2} \times \frac{2530}{2} - 1 = 0

Divide the terms

More Steps

Evaluate

\frac{2530}{2}

Reduce the numbers

\frac{1265}{1}

Calculate

1265

M^{2} \times 1265 - 1 = 0

Use the commutative property to reorder the terms

1265 M^{2} - 1 = 0

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

1265 M^{2} = 0 + 1

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

1265 M^{2} = 1

Divide both sides

\frac{1265 M ^{2}}{1265} = \frac{1}{1265}

Divide the numbers

M^{2} = \frac{1}{1265}

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

M = \pm \frac{1}{1265}

Simplify the expression

More Steps

Evaluate

\frac{1}{1265}

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

\frac{1}{1265}

Simplify the radical expression

\frac{1}{1265}

Multiply by the Conjugate

\frac{1265}{1265 \times 1265}

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

\frac{1265}{1265}

M = \pm \frac{1265}{1265}

Separate the equation into 2 possible cases

M = \frac{1265}{1265} M = - \frac{1265}{1265}

Solution

M_{1} = - \frac{1265}{1265}, M_{2} = \frac{1265}{1265}

Alternative Form

M_{1} \approx - 0.028116, M_{2} \approx 0.028116

Show Solution