Solve 15105317-141 c^2

Question

Find the roots

c_{1} = - \frac{2129849697}{141}, c_{2} = \frac{2129849697}{141}

Alternative Form

c_{1} \approx - 327.307054, c_{2} \approx 327.307054

Evaluate

15105317 - 141 c^{2}

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

15105317 - 141 c^{2} = 0

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

- 141 c^{2} = 0 - 15105317

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

- 141 c^{2} = - 15105317

Change the signs on both sides of the equation

141 c^{2} = 15105317

Divide both sides

\frac{141 c ^{2}}{141} = \frac{15105317}{141}

Divide the numbers

c^{2} = \frac{15105317}{141}

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

c = \pm \frac{15105317}{141}

Simplify the expression

More Steps

Evaluate

\frac{15105317}{141}

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

\frac{15105317}{141}

Multiply by the Conjugate

\frac{15105317 \times 141}{141 \times 141}

Multiply the numbers

More Steps

Evaluate

15105317 \times 141

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

15105317 \times 141

Calculate the product

2129849697

\frac{2129849697}{141 \times 141}

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

\frac{2129849697}{141}

c = \pm \frac{2129849697}{141}

Separate the equation into 2 possible cases

c = \frac{2129849697}{141} c = - \frac{2129849697}{141}

Solution

c_{1} = - \frac{2129849697}{141}, c_{2} = \frac{2129849697}{141}

Alternative Form

c_{1} \approx - 327.307054, c_{2} \approx 327.307054

Show Solution