Solve c^350-c - ScanMath

Question

Simplify the expression

50 c^{3} - c

Evaluate

c^{3} \times 50 - c

Solution

50 c^{3} - c

Show Solution

c (50 c^{2} - 1)

Evaluate

c^{3} \times 50 - c

Use the commutative property to reorder the terms

50 c^{3} - c

Rewrite the expression

c \times 50 c^{2} - c

Solution

c (50 c^{2} - 1)

Show Solution

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

Alternative Form

c_{1} \approx - 0.141421, c_{2} = 0, c_{3} \approx 0.141421

Evaluate

c^{3} \times 50 - c

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

c^{3} \times 50 - c = 0

Use the commutative property to reorder the terms

50 c^{3} - c = 0

Factor the expression

c (50 c^{2} - 1) = 0

Separate the equation into 2 possible cases

c = 0 50 c^{2} - 1 = 0

Solve the equation

More Steps

Evaluate

50 c^{2} - 1 = 0

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

50 c^{2} = 0 + 1

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

50 c^{2} = 1

Divide both sides

\frac{50 c ^{2}}{50} = \frac{1}{50}

Divide the numbers

c^{2} = \frac{1}{50}

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

c = \pm \frac{1}{50}

Simplify the expression

More Steps

Evaluate

\frac{1}{50}

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

\frac{1}{50}

Simplify the radical expression

\frac{1}{50}

Simplify the radical expression

\frac{1}{5 2}

Multiply by the Conjugate

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

Multiply the numbers

\frac{2}{10}

c = \pm \frac{2}{10}

Separate the equation into 2 possible cases

c = \frac{2}{10} c = - \frac{2}{10}

c = 0 c = \frac{2}{10} c = - \frac{2}{10}

Solution

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

Alternative Form

c_{1} \approx - 0.141421, c_{2} = 0, c_{3} \approx 0.141421

Show Solution