Solve -12c 12c-1 - ScanMath

Question

Simplify the expression

- 144 c^{2} - 1

Evaluate

- 12 c \times 12 c - 1

Solution

More Steps

Evaluate

- 12 c \times 12 c

Multiply the terms

- 144 c \times c

Multiply the terms

- 144 c^{2}

- 144 c^{2} - 1

Show Solution

c_{1} = - \frac{1}{12} i, c_{2} = \frac{1}{12} i

Alternative Form

c_{1} = - 0.08 \dot{3} \times i, c_{2} = 0.08 \dot{3} \times i

Evaluate

- 12 c \times 12 c - 1

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

- 12 c \times 12 c - 1 = 0

Multiply

More Steps

Multiply the terms

- 12 c \times 12 c

Multiply the terms

- 144 c \times c

Multiply the terms

- 144 c^{2}

- 144 c^{2} - 1 = 0

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

- 144 c^{2} = 0 + 1

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

- 144 c^{2} = 1

Change the signs on both sides of the equation

144 c^{2} = - 1

Divide both sides

\frac{144 c ^{2}}{144} = \frac{- 1}{144}

Divide the numbers

c^{2} = \frac{- 1}{144}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

c^{2} = - \frac{1}{144}

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

c = \pm - \frac{1}{144}

Simplify the expression

More Steps

Evaluate

- \frac{1}{144}

Evaluate the power

\frac{1}{144} \times - 1

Evaluate the power

\frac{1}{144} \times i

Evaluate the power

More Steps

Evaluate

\frac{1}{144}

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

\frac{1}{144}

Simplify the radical expression

\frac{1}{144}

Simplify the radical expression

\frac{1}{12}

\frac{1}{12} i

c = \pm \frac{1}{12} i

Separate the equation into 2 possible cases

c = \frac{1}{12} i c = - \frac{1}{12} i

Solution

c_{1} = - \frac{1}{12} i, c_{2} = \frac{1}{12} i

Alternative Form

c_{1} = - 0.08 \dot{3} \times i, c_{2} = 0.08 \dot{3} \times i

Show Solution