Solve 8r^2(r^2-2)

Evaluate

8 r^{2} (r^{2} - 2)

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

8 r^{2} (r^{2} - 2) = 0

Elimination the left coefficient

r^{2} (r^{2} - 2) = 0

Separate the equation into 2 possible cases

r^{2} = 0 r^{2} - 2 = 0

The only way a power can be 0 is when the base equals 0

r = 0 r^{2} - 2 = 0

Solve the equation

More Steps

r = 0 r = 2 r = - 2

Solution

r_{1} = - 2, r_{2} = 0, r_{3} = 2

Alternative Form

r_{1} \approx - 1.414214, r_{2} = 0, r_{3} \approx 1.414214

Simplify the expression