Solve 205/5-r17 215/45r17

Question

Simplify the expression

41 - \frac{3332}{9} r^{2}

Show Solution

\frac{1}{9} (369 - 3332 r^{2})

Show Solution

r_{1} = - \frac{3 697}{238}, r_{2} = \frac{3 697}{238}

Alternative Form

r_{1} \approx - 0.332783, r_{2} \approx 0.332783

Evaluate

\frac{205}{5} - r \times 17 \frac{215}{45} \times r \times 17

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

\frac{205}{5} - r \times 17 \frac{215}{45} \times r \times 17 = 0

Covert the mixed number to an improper fraction

More Steps

\frac{205}{5} - r \times \frac{980}{45} r \times 17 = 0

Divide the terms

More Steps

41 - r \times \frac{980}{45} r \times 17 = 0

Multiply

More Steps

41 - \frac{3332}{9} r^{2} = 0

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

- \frac{3332}{9} r^{2} = 0 - 41

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

- \frac{3332}{9} r^{2} = - 41

Change the signs on both sides of the equation

\frac{3332}{9} r^{2} = 41

Multiply by the reciprocal

\frac{3332}{9} r^{2} \times \frac{9}{3332} = 41 \times \frac{9}{3332}

Multiply

r^{2} = 41 \times \frac{9}{3332}

Multiply

More Steps

r^{2} = \frac{369}{3332}

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

r = \pm \frac{369}{3332}

Simplify the expression

More Steps

r = \pm \frac{3 697}{238}

Separate the equation into 2 possible cases

r = \frac{3 697}{238} r = - \frac{3 697}{238}

Solution

r_{1} = - \frac{3 697}{238}, r_{2} = \frac{3 697}{238}

Alternative Form

r_{1} \approx - 0.332783, r_{2} \approx 0.332783

Show Solution