Solve m^22759/16-16-9

Question

Simplify the expression

Solution

\frac{2759}{16} m^{2} - 25

Evaluate

m^{2} \times \frac{2759}{16} - 16 - 9

Use the commutative property to reorder the terms

\frac{2759}{16} m^{2} - 16 - 9

Solution

\frac{2759}{16} m^{2} - 25

Show Solution

Factor the expression

Factor

\frac{1}{16} (2759 m^{2} - 400)

Evaluate

m^{2} \times \frac{2759}{16} - 16 - 9

Use the commutative property to reorder the terms

\frac{2759}{16} m^{2} - 16 - 9

Subtract the numbers

\frac{2759}{16} m^{2} - 25

Solution

\frac{1}{16} (2759 m^{2} - 400)

Show Solution

Find the roots

Find the roots of the algebra expression

m_{1} = - \frac{20 2759}{2759}, m_{2} = \frac{20 2759}{2759}

Alternative Form

m_{1} \approx - 0.380762, m_{2} \approx 0.380762

Evaluate

m^{2} \times \frac{2759}{16} - 16 - 9

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

m^{2} \times \frac{2759}{16} - 16 - 9 = 0

Use the commutative property to reorder the terms

\frac{2759}{16} m^{2} - 16 - 9 = 0

Subtract the numbers

\frac{2759}{16} m^{2} - 25 = 0

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

\frac{2759}{16} m^{2} = 0 + 25

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

\frac{2759}{16} m^{2} = 25

Multiply by the reciprocal

\frac{2759}{16} m^{2} \times \frac{16}{2759} = 25 \times \frac{16}{2759}

Multiply

m^{2} = 25 \times \frac{16}{2759}

Multiply

More Steps

Evaluate

25 \times \frac{16}{2759}

Multiply the numbers

\frac{25 \times 16}{2759}

Multiply the numbers

\frac{400}{2759}

m^{2} = \frac{400}{2759}

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

m = \pm \frac{400}{2759}

Simplify the expression

More Steps

Evaluate

\frac{400}{2759}

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

\frac{400}{2759}

Simplify the radical expression

More Steps

Evaluate

400

Write the number in exponential form with the base of 20

2 0^{2}

Reduce the index of the radical and exponent with 2

20

\frac{20}{2759}

Multiply by the Conjugate

\frac{20 2759}{2759 \times 2759}

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

\frac{20 2759}{2759}

m = \pm \frac{20 2759}{2759}

Separate the equation into 2 possible cases

m = \frac{20 2759}{2759} m = - \frac{20 2759}{2759}

Solution

m_{1} = - \frac{20 2759}{2759}, m_{2} = \frac{20 2759}{2759}

Alternative Form

m_{1} \approx - 0.380762, m_{2} \approx 0.380762

Show Solution

M^22759/16 16 9

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression