Solve c^2200-1 - ScanMath

Question

Simplify the expression

200 c^{2} - 1

Evaluate

c^{2} \times 200 - 1

Solution

200 c^{2} - 1

Show Solution

c_{1} = - \frac{2}{20}, c_{2} = \frac{2}{20}

Alternative Form

c_{1} \approx - 0.070711, c_{2} \approx 0.070711

Evaluate

c^{2} \times 200 - 1

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

c^{2} \times 200 - 1 = 0

Use the commutative property to reorder the terms

200 c^{2} - 1 = 0

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

200 c^{2} = 0 + 1

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

200 c^{2} = 1

Divide both sides

\frac{200 c ^{2}}{200} = \frac{1}{200}

Divide the numbers

c^{2} = \frac{1}{200}

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

c = \pm \frac{1}{200}

Simplify the expression

More Steps

Evaluate

\frac{1}{200}

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

\frac{1}{200}

Simplify the radical expression

\frac{1}{200}

Simplify the radical expression

More Steps

Evaluate

200

Write the expression as a product where the root of one of the factors can be evaluated

100 \times 2

Write the number in exponential form with the base of 10

1 0^{2} \times 2

The root of a product is equal to the product of the roots of each factor

1 0^{2} \times 2

Reduce the index of the radical and exponent with 2

102

\frac{1}{10 2}

Multiply by the Conjugate

\frac{2}{10 2 \times 2}

Multiply the numbers

More Steps

Evaluate

102 \times 2

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

10 \times 2

Multiply the terms

20

\frac{2}{20}

c = \pm \frac{2}{20}

Separate the equation into 2 possible cases

c = \frac{2}{20} c = - \frac{2}{20}

Solution

c_{1} = - \frac{2}{20}, c_{2} = \frac{2}{20}

Alternative Form

c_{1} \approx - 0.070711, c_{2} \approx 0.070711

Show Solution