Solve 10-20c*c - ScanMath

Question

Simplify the expression

10 - 20 c^{2}

Evaluate

10 - 20 c \times c

Solution

10 - 20 c^{2}

Show Solution

10 (1 - 2 c^{2})

Evaluate

10 - 20 c \times c

Multiply the terms

10 - 20 c^{2}

Solution

10 (1 - 2 c^{2})

Show Solution

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

Alternative Form

c_{1} \approx - 0.707107, c_{2} \approx 0.707107

Evaluate

10 - 20 c \times c

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

10 - 20 c \times c = 0

Multiply the terms

10 - 20 c^{2} = 0

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

- 20 c^{2} = 0 - 10

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

- 20 c^{2} = - 10

Change the signs on both sides of the equation

20 c^{2} = 10

Divide both sides

\frac{20 c ^{2}}{20} = \frac{10}{20}

Divide the numbers

c^{2} = \frac{10}{20}

Cancel out the common factor 10

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

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

c = \pm \frac{1}{2}

Simplify the expression

More Steps

Evaluate

\frac{1}{2}

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

\frac{1}{2}

Simplify the radical expression

\frac{1}{2}

Multiply by the Conjugate

\frac{2}{2 \times 2}

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

\frac{2}{2}

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

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

c_{1} \approx - 0.707107, c_{2} \approx 0.707107

Show Solution