Solve m^25988/4-145

Question

Simplify the expression

1497 m^{2} - 145

Evaluate

m^{2} \times \frac{5988}{4} - 145

Divide the terms

More Steps

Evaluate

\frac{5988}{4}

Reduce the numbers

\frac{1497}{1}

Calculate

1497

m^{2} \times 1497 - 145

Solution

1497 m^{2} - 145

Show Solution

m_{1} = - \frac{217065}{1497}, m_{2} = \frac{217065}{1497}

Alternative Form

m_{1} \approx - 0.311224, m_{2} \approx 0.311224

Evaluate

m^{2} \times \frac{5988}{4} - 145

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

m^{2} \times \frac{5988}{4} - 145 = 0

Divide the terms

More Steps

Evaluate

\frac{5988}{4}

Reduce the numbers

\frac{1497}{1}

Calculate

1497

m^{2} \times 1497 - 145 = 0

Use the commutative property to reorder the terms

1497 m^{2} - 145 = 0

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

1497 m^{2} = 0 + 145

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

1497 m^{2} = 145

Divide both sides

\frac{1497 m ^{2}}{1497} = \frac{145}{1497}

Divide the numbers

m^{2} = \frac{145}{1497}

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

m = \pm \frac{145}{1497}

Simplify the expression

More Steps

Evaluate

\frac{145}{1497}

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

\frac{145}{1497}

Multiply by the Conjugate

\frac{145 \times 1497}{1497 \times 1497}

Multiply the numbers

More Steps

Evaluate

145 \times 1497

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

145 \times 1497

Calculate the product

217065

\frac{217065}{1497 \times 1497}

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

\frac{217065}{1497}

m = \pm \frac{217065}{1497}

Separate the equation into 2 possible cases

m = \frac{217065}{1497} m = - \frac{217065}{1497}

Solution

m_{1} = - \frac{217065}{1497}, m_{2} = \frac{217065}{1497}

Alternative Form

m_{1} \approx - 0.311224, m_{2} \approx 0.311224

Show Solution