Solve 800-171 r^2

Question

Find the roots

r_{1} = - \frac{20 38}{57}, r_{2} = \frac{20 38}{57}

Alternative Form

r_{1} \approx - 2.162952, r_{2} \approx 2.162952

Evaluate

800 - 171 r^{2}

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

800 - 171 r^{2} = 0

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

- 171 r^{2} = 0 - 800

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

- 171 r^{2} = - 800

Change the signs on both sides of the equation

171 r^{2} = 800

Divide both sides

\frac{171 r ^{2}}{171} = \frac{800}{171}

Divide the numbers

r^{2} = \frac{800}{171}

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

r = \pm \frac{800}{171}

Simplify the expression

More Steps

r = \pm \frac{20 38}{57}

Separate the equation into 2 possible cases

r = \frac{20 38}{57} r = - \frac{20 38}{57}

Solution

r_{1} = - \frac{20 38}{57}, r_{2} = \frac{20 38}{57}

Alternative Form

r_{1} \approx - 2.162952, r_{2} \approx 2.162952

Show Solution