To solve the quadratic equation 9r^2 - r - 6 = 0 using the quadratic formula:
r = [ -(-1) ± √((-1)^2 - 4*9*(-6)) ] / 2*9
r = [ 1 ± √(1 + 216) ] / 18
r = [ 1 ± √217 ] / 18
Therefore, the solutions are:
r = (1 + √217) / 18
r = (1 - √217) / 18
These are the exact values in simplest radical form. If you want decimal approximations, they would be approximately:
r ≈ 1.07
r ≈ -0.39
Solve using the quadratic formula.
9r2 − r − 6 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
r =
or r =
1 answer