Solve c = c1 c^2 - ScanMath

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Type your math problem... c = c1 c^2

Question

Solve the equation

c_{1} = - 1, c_{2} = 0, c_{3} = 1

Evaluate

c = c \times 1 \times c^{2}

Multiply the terms

More Steps

Evaluate

c \times 1 \times c^{2}

Rewrite the expression

c \times c^{2}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

c^{1 + 2}

Add the numbers

c^{3}

c = c^{3}

Move the expression to the left side

c - c^{3} = 0

Factor the expression

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

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

Evaluate

1 - c^{2} = 0

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

- c^{2} = 0 - 1

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

- c^{2} = - 1

Change the signs on both sides of the equation

c^{2} = 1

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

c = \pm 1

Simplify the expression

c = \pm 1

Separate the equation into 2 possible cases

c = 1 c = - 1

c = 0 c = 1 c = - 1

Solution

c_{1} = - 1, c_{2} = 0, c_{3} = 1

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