a and b are real numbers and satisfy a*b^2 = 27/5 and ab = 135. Compute a + 5b.
ab^2 = 27/5
ab = 135 divide the first by the second and we get
b = 27 / ( 135 * 5) = 27 / 675 = 1/25
a ( 1/25) = 135
a = 25 (135) = 3375
a + 5b =
3375 + 5 (1/25) =
3375 + 1/5 =
3375. 20