Solve m^25988/1-354

Question

Simplify the expression

5988 m^{2} - 354

Evaluate

m^{2} \times \frac{5988}{1} - 354

Divide the terms

m^{2} \times 5988 - 354

Solution

5988 m^{2} - 354

Show Solution

6 (998 m^{2} - 59)

Evaluate

m^{2} \times \frac{5988}{1} - 354

Divide the terms

m^{2} \times 5988 - 354

Use the commutative property to reorder the terms

5988 m^{2} - 354

Solution

6 (998 m^{2} - 59)

Show Solution

m_{1} = - \frac{58882}{998}, m_{2} = \frac{58882}{998}

Alternative Form

m_{1} \approx - 0.243142, m_{2} \approx 0.243142

Evaluate

m^{2} \times \frac{5988}{1} - 354

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

m^{2} \times \frac{5988}{1} - 354 = 0

Divide the terms

m^{2} \times 5988 - 354 = 0

Use the commutative property to reorder the terms

5988 m^{2} - 354 = 0

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

5988 m^{2} = 0 + 354

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

5988 m^{2} = 354

Divide both sides

\frac{5988 m ^{2}}{5988} = \frac{354}{5988}

Divide the numbers

m^{2} = \frac{354}{5988}

Cancel out the common factor 6

m^{2} = \frac{59}{998}

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

m = \pm \frac{59}{998}

Simplify the expression

More Steps

Evaluate

\frac{59}{998}

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

\frac{59}{998}

Multiply by the Conjugate

\frac{59 \times 998}{998 \times 998}

Multiply the numbers

More Steps

Evaluate

59 \times 998

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

59 \times 998

Calculate the product

58882

\frac{58882}{998 \times 998}

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

\frac{58882}{998}

m = \pm \frac{58882}{998}

Separate the equation into 2 possible cases

m = \frac{58882}{998} m = - \frac{58882}{998}

Solution

m_{1} = - \frac{58882}{998}, m_{2} = \frac{58882}{998}

Alternative Form

m_{1} \approx - 0.243142, m_{2} \approx 0.243142

Show Solution