Solve c^210062-1 - ScanMath

Question

Simplify the expression

10062 c^{2} - 1

Evaluate

c^{2} \times 10062 - 1

Solution

10062 c^{2} - 1

Show Solution

c_{1} = - \frac{1118}{3354}, c_{2} = \frac{1118}{3354}

Alternative Form

c_{1} \approx - 0.009969, c_{2} \approx 0.009969

Evaluate

c^{2} \times 10062 - 1

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

c^{2} \times 10062 - 1 = 0

Use the commutative property to reorder the terms

10062 c^{2} - 1 = 0

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

10062 c^{2} = 0 + 1

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

10062 c^{2} = 1

Divide both sides

\frac{10062 c ^{2}}{10062} = \frac{1}{10062}

Divide the numbers

c^{2} = \frac{1}{10062}

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

c = \pm \frac{1}{10062}

Simplify the expression

More Steps

Evaluate

\frac{1}{10062}

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

\frac{1}{10062}

Simplify the radical expression

\frac{1}{10062}

Simplify the radical expression

More Steps

Evaluate

10062

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

9 \times 1118

Write the number in exponential form with the base of 3

3^{2} \times 1118

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

3^{2} \times 1118

Reduce the index of the radical and exponent with 2

31118

\frac{1}{3 1118}

Multiply by the Conjugate

\frac{1118}{3 1118 \times 1118}

Multiply the numbers

More Steps

Evaluate

31118 \times 1118

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

3 \times 1118

Multiply the terms

3354

\frac{1118}{3354}

c = \pm \frac{1118}{3354}

Separate the equation into 2 possible cases

c = \frac{1118}{3354} c = - \frac{1118}{3354}

Solution

c_{1} = - \frac{1118}{3354}, c_{2} = \frac{1118}{3354}

Alternative Form

c_{1} \approx - 0.009969, c_{2} \approx 0.009969

Show Solution