Solve 5-8c 7c -10

Question

Simplify the expression

- 5 - 56 c^{2}

Evaluate

5 - 8 c \times 7 c - 10

Multiply

More Steps

Multiply the terms

- 8 c \times 7 c

Multiply the terms

- 56 c \times c

Multiply the terms

- 56 c^{2}

5 - 56 c^{2} - 10

Solution

- 5 - 56 c^{2}

Show Solution

c_{1} = - \frac{70}{28} i, c_{2} = \frac{70}{28} i

Alternative Form

c_{1} \approx - 0.298807 i, c_{2} \approx 0.298807 i

Evaluate

5 - 8 c \times 7 c - 10

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

5 - 8 c \times 7 c - 10 = 0

Multiply

More Steps

Multiply the terms

8 c \times 7 c

Multiply the terms

56 c \times c

Multiply the terms

56 c^{2}

5 - 56 c^{2} - 10 = 0

Subtract the numbers

- 5 - 56 c^{2} = 0

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

- 56 c^{2} = 0 + 5

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

- 56 c^{2} = 5

Change the signs on both sides of the equation

56 c^{2} = - 5

Divide both sides

\frac{56 c ^{2}}{56} = \frac{- 5}{56}

Divide the numbers

c^{2} = \frac{- 5}{56}

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

c^{2} = - \frac{5}{56}

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

c = \pm - \frac{5}{56}

Simplify the expression

More Steps

Evaluate

- \frac{5}{56}

Evaluate the power

\frac{5}{56} \times - 1

Evaluate the power

\frac{5}{56} \times i

Evaluate the power

More Steps

Evaluate

\frac{5}{56}

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

\frac{5}{56}

Simplify the radical expression

\frac{5}{2 14}

Multiply by the Conjugate

\frac{5 \times 14}{2 14 \times 14}

Multiply the numbers

\frac{70}{2 14 \times 14}

Multiply the numbers

\frac{70}{28}

\frac{70}{28} i

c = \pm \frac{70}{28} i

Separate the equation into 2 possible cases

c = \frac{70}{28} i c = - \frac{70}{28} i

Solution

c_{1} = - \frac{70}{28} i, c_{2} = \frac{70}{28} i

Alternative Form

c_{1} \approx - 0.298807 i, c_{2} \approx 0.298807 i

Show Solution