Solve 5035718-140 c^2

Question

Factor the expression

2 (2517859 - 70 c^{2})

Evaluate

5035718 - 140 c^{2}

Solution

2 (2517859 - 70 c^{2})

Show Solution

c_{1} = - \frac{176250130}{70}, c_{2} = \frac{176250130}{70}

Alternative Form

c_{1} \approx - 189.656042, c_{2} \approx 189.656042

Evaluate

5035718 - 140 c^{2}

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

5035718 - 140 c^{2} = 0

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

- 140 c^{2} = 0 - 5035718

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

- 140 c^{2} = - 5035718

Change the signs on both sides of the equation

140 c^{2} = 5035718

Divide both sides

\frac{140 c ^{2}}{140} = \frac{5035718}{140}

Divide the numbers

c^{2} = \frac{5035718}{140}

Cancel out the common factor 2

c^{2} = \frac{2517859}{70}

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

c = \pm \frac{2517859}{70}

Simplify the expression

More Steps

Evaluate

\frac{2517859}{70}

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

\frac{2517859}{70}

Multiply by the Conjugate

\frac{2517859 \times 70}{70 \times 70}

Multiply the numbers

More Steps

Evaluate

2517859 \times 70

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

2517859 \times 70

Calculate the product

176250130

\frac{176250130}{70 \times 70}

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

\frac{176250130}{70}

c = \pm \frac{176250130}{70}

Separate the equation into 2 possible cases

c = \frac{176250130}{70} c = - \frac{176250130}{70}

Solution

c_{1} = - \frac{176250130}{70}, c_{2} = \frac{176250130}{70}

Alternative Form

c_{1} \approx - 189.656042, c_{2} \approx 189.656042

Show Solution