Solve m^65-m^42 - ScanMath

Question

Simplify the expression

5 m^{6} - 2 m^{4}

Evaluate

m^{6} \times 5 - m^{4} \times 2

Use the commutative property to reorder the terms

5 m^{6} - m^{4} \times 2

Solution

5 m^{6} - 2 m^{4}

Show Solution

m^{4} (5 m^{2} - 2)

Evaluate

m^{6} \times 5 - m^{4} \times 2

Use the commutative property to reorder the terms

5 m^{6} - m^{4} \times 2

Use the commutative property to reorder the terms

5 m^{6} - 2 m^{4}

Rewrite the expression

m^{4} \times 5 m^{2} - m^{4} \times 2

Solution

m^{4} (5 m^{2} - 2)

Show Solution

m_{1} = - \frac{10}{5}, m_{2} = 0, m_{3} = \frac{10}{5}

Alternative Form

m_{1} \approx - 0.632456, m_{2} = 0, m_{3} \approx 0.632456

Evaluate

m^{6} \times 5 - m^{4} \times 2

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

m^{6} \times 5 - m^{4} \times 2 = 0

Use the commutative property to reorder the terms

5 m^{6} - m^{4} \times 2 = 0

Use the commutative property to reorder the terms

5 m^{6} - 2 m^{4} = 0

Factor the expression

m^{4} (5 m^{2} - 2) = 0

Separate the equation into 2 possible cases

m^{4} = 0 5 m^{2} - 2 = 0

The only way a power can be 0 is when the base equals 0

m = 0 5 m^{2} - 2 = 0

Solve the equation

More Steps

Evaluate

5 m^{2} - 2 = 0

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

5 m^{2} = 0 + 2

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

5 m^{2} = 2

Divide both sides

\frac{5 m ^{2}}{5} = \frac{2}{5}

Divide the numbers

m^{2} = \frac{2}{5}

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

m = \pm \frac{2}{5}

Simplify the expression

More Steps

Evaluate

\frac{2}{5}

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

\frac{2}{5}

Multiply by the Conjugate

\frac{2 \times 5}{5 \times 5}

Multiply the numbers

\frac{10}{5 \times 5}

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

\frac{10}{5}

m = \pm \frac{10}{5}

Separate the equation into 2 possible cases

m = \frac{10}{5} m = - \frac{10}{5}

m = 0 m = \frac{10}{5} m = - \frac{10}{5}

Solution

m_{1} = - \frac{10}{5}, m_{2} = 0, m_{3} = \frac{10}{5}

Alternative Form

m_{1} \approx - 0.632456, m_{2} = 0, m_{3} \approx 0.632456

Show Solution