Solve c^2490-39004

Question

Simplify the expression

490 c^{2} - 39004

Evaluate

c^{2} \times 490 - 39004

Solution

490 c^{2} - 39004

Show Solution

98 (5 c^{2} - 398)

Evaluate

c^{2} \times 490 - 39004

Use the commutative property to reorder the terms

490 c^{2} - 39004

Solution

98 (5 c^{2} - 398)

Show Solution

c_{1} = - \frac{1990}{5}, c_{2} = \frac{1990}{5}

Alternative Form

c_{1} \approx - 8.921883, c_{2} \approx 8.921883

Evaluate

c^{2} \times 490 - 39004

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

c^{2} \times 490 - 39004 = 0

Use the commutative property to reorder the terms

490 c^{2} - 39004 = 0

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

490 c^{2} = 0 + 39004

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

490 c^{2} = 39004

Divide both sides

\frac{490 c ^{2}}{490} = \frac{39004}{490}

Divide the numbers

c^{2} = \frac{39004}{490}

Cancel out the common factor 98

c^{2} = \frac{398}{5}

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

c = \pm \frac{398}{5}

Simplify the expression

More Steps

Evaluate

\frac{398}{5}

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

\frac{398}{5}

Multiply by the Conjugate

\frac{398 \times 5}{5 \times 5}

Multiply the numbers

More Steps

Evaluate

398 \times 5

The product of roots with the same index is equal to the root of the product

398 \times 5

Calculate the product

1990

\frac{1990}{5 \times 5}

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

\frac{1990}{5}

c = \pm \frac{1990}{5}

Separate the equation into 2 possible cases

c = \frac{1990}{5} c = - \frac{1990}{5}

Solution

c_{1} = - \frac{1990}{5}, c_{2} = \frac{1990}{5}

Alternative Form

c_{1} \approx - 8.921883, c_{2} \approx 8.921883

Show Solution